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Título : Homological Algebra of Semimodules and Semicontramodules : Semi-infinite Homological Algebra of Associative Algebraic Structures Tipo de documento: documento electrónico Autores: Leonid Positselski ; SpringerLink (Online service) Editorial: Basel : Springer Basel Fecha de publicación: 2010 Colección: Monografie Matematyczne num. 70 Número de páginas: XXIV, 352 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0436-9 Idioma : Inglés (eng) Palabras clave: Mathematics Category theory (Mathematics) Homological algebra Global analysis Manifolds Differential geometry Theory, Algebra Analysis and on Geometry Clasificación: 51 Matemáticas Resumen: This monograph deals with semi-infinite homological algebra. Intended as the definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, it also contains material on the semi-infinite (co)homology of Lie algebras and topological groups, the derived comodule-contramodule correspondence, its application to the duality between representations of infinite-dimensional Lie algebras with complementary central charges, and relative non-homogeneous Koszul duality. The book explains with great clarity what the associative version of semi-infinite cohomology is, why it exists, and for what kind of objects it is defined. Semialgebras, contramodules, exotic derived categories, Tate Lie algebras, algebraic Harish-Chandra pairs, and locally compact totally disconnected topological groups all interplay in the theories developed in this monograph. Contramodules, introduced originally by Eilenberg and Moore in the 1960s but almost forgotten for four decades, are featured prominently in this book, with many versions of them introduced and discussed. Rich in new ideas on homological algebra and the theory of corings and their analogues, this book also makes a contribution to the foundational aspects of representation theory. In particular, it will be a valuable addition to the algebraic literature available to mathematical physicists Nota de contenido: Preface -- Introduction -- 0 Preliminaries and Summary -- 1 Semialgebras and Semitensor Product -- 2 Derived Functor SemiTor -- 3 Semicontramodules and Semihomomorphisms -- 4 Derived Functor SemiExt -- 5 Comodule-Contramodule Correspondence -- 6 Semimodule-Semicontramodule Correspondence -- 7 Functoriality in the Coring -- 8 Functoriality in the Semialgebra -- 9 Closed Model Category Structures -- 10 A Construction of Semialgebras -- 11 Relative Nonhomogeneous Koszul Duality -- Appendix A Contramodules over Coalgebras over Fields -- Appendix B Comparison with Arkhipov's Ext^{\infty/2+*} and Sevostyanov's Tor_{\infty/2+*} -- Appendix C Semialgebras Associated to Harish-Chandra Pairs -- Appendix D Tate Harish-Chandra Pairs and Tate Lie Algebras -- Appendix E Groups with Open Profinite Subgroups -- Appendix F Algebraic Groupoids with Closed Subgroupoids -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-0346-0436-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33681 Homological Algebra of Semimodules and Semicontramodules : Semi-infinite Homological Algebra of Associative Algebraic Structures [documento electrónico] / Leonid Positselski ; SpringerLink (Online service) . - Basel : Springer Basel, 2010 . - XXIV, 352 p : online resource. - (Monografie Matematyczne; 70) .
ISBN : 978-3-0346-0436-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Category theory (Mathematics) Homological algebra Global analysis Manifolds Differential geometry Theory, Algebra Analysis and on Geometry Clasificación: 51 Matemáticas Resumen: This monograph deals with semi-infinite homological algebra. Intended as the definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, it also contains material on the semi-infinite (co)homology of Lie algebras and topological groups, the derived comodule-contramodule correspondence, its application to the duality between representations of infinite-dimensional Lie algebras with complementary central charges, and relative non-homogeneous Koszul duality. The book explains with great clarity what the associative version of semi-infinite cohomology is, why it exists, and for what kind of objects it is defined. Semialgebras, contramodules, exotic derived categories, Tate Lie algebras, algebraic Harish-Chandra pairs, and locally compact totally disconnected topological groups all interplay in the theories developed in this monograph. Contramodules, introduced originally by Eilenberg and Moore in the 1960s but almost forgotten for four decades, are featured prominently in this book, with many versions of them introduced and discussed. Rich in new ideas on homological algebra and the theory of corings and their analogues, this book also makes a contribution to the foundational aspects of representation theory. In particular, it will be a valuable addition to the algebraic literature available to mathematical physicists Nota de contenido: Preface -- Introduction -- 0 Preliminaries and Summary -- 1 Semialgebras and Semitensor Product -- 2 Derived Functor SemiTor -- 3 Semicontramodules and Semihomomorphisms -- 4 Derived Functor SemiExt -- 5 Comodule-Contramodule Correspondence -- 6 Semimodule-Semicontramodule Correspondence -- 7 Functoriality in the Coring -- 8 Functoriality in the Semialgebra -- 9 Closed Model Category Structures -- 10 A Construction of Semialgebras -- 11 Relative Nonhomogeneous Koszul Duality -- Appendix A Contramodules over Coalgebras over Fields -- Appendix B Comparison with Arkhipov's Ext^{\infty/2+*} and Sevostyanov's Tor_{\infty/2+*} -- Appendix C Semialgebras Associated to Harish-Chandra Pairs -- Appendix D Tate Harish-Chandra Pairs and Tate Lie Algebras -- Appendix E Groups with Open Profinite Subgroups -- Appendix F Algebraic Groupoids with Closed Subgroupoids -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-0346-0436-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33681 Ejemplares
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Título : An Introduction to Homological Algebra Tipo de documento: documento electrónico Autores: Joseph J. Rotman ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2009 Colección: Universitext, ISSN 0172-5939 Número de páginas: XIV, 710 p. 11 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-68324-9 Idioma : Inglés (eng) Palabras clave: Mathematics Category theory (Mathematics) Homological algebra Theory, Algebra Clasificación: 51 Matemáticas Resumen: With a wealth of examples as well as abundant applications to Algebra, this is a must-read work: a clearly written, easy-to-follow guide to Homological Algebra. The author provides a treatment of Homological Algebra which approaches the subject in terms of its origins in algebraic topology. In this brand new edition the text has been fully updated and revised throughout and new material on sheaves and abelian categories has been added. Applications include the following: * to rings -- Lazard's theorem that flat modules are direct limits of free modules, Hilbert's Syzygy Theorem, Quillen-Suslin's solution of Serre's problem about projectives over polynomial rings, Serre-Auslander-Buchsbaum characterization of regular local rings (and a sketch of unique factorization); * to groups -- Schur-Zassenhaus, Gaschutz's theorem on outer automorphisms of finite p-groups, Schur multiplier, cotorsion groups; * to sheaves -- sheaf cohomology, Cech cohomology, discussion of Riemann-Roch Theorem over compact Riemann surfaces. Learning Homological Algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes. Secondly, one must be able to compute these things using a separate language: that of spectral sequences. The basic properties of spectral sequences are developed using exact couples. All is done in the context of bicomplexes, for almost all applications of spectral sequences involve indices. Applications include Grothendieck spectral sequences, change of rings, Lyndon-Hochschild-Serre sequence, and theorems of Leray and Cartan computing sheaf cohomology. Joseph Rotman is Professor Emeritus of Mathematics at the University of Illinois at Urbana-Champaign. He is the author of numerous successful textbooks, including Advanced Modern Algebra (Prentice-Hall 2002), Galois Theory, 2nd Edition (Springer 1998) A First Course in Abstract Algebra (Prentice-Hall 1996), Introduction to the Theory of Groups, 4th Edition (Springer 1995), and Introduction to Algebraic Topology (Springer 1988) Nota de contenido: Hom and Tensor -- Special Modules -- Specific Rings -- Setting the Stage -- Homology -- Tor and Ext -- Homology and Rings -- Homology and Groups -- Spectral Sequences En línea: http://dx.doi.org/10.1007/b98977 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33837 An Introduction to Homological Algebra [documento electrónico] / Joseph J. Rotman ; SpringerLink (Online service) . - New York, NY : Springer New York, 2009 . - XIV, 710 p. 11 illus : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-0-387-68324-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Category theory (Mathematics) Homological algebra Theory, Algebra Clasificación: 51 Matemáticas Resumen: With a wealth of examples as well as abundant applications to Algebra, this is a must-read work: a clearly written, easy-to-follow guide to Homological Algebra. The author provides a treatment of Homological Algebra which approaches the subject in terms of its origins in algebraic topology. In this brand new edition the text has been fully updated and revised throughout and new material on sheaves and abelian categories has been added. Applications include the following: * to rings -- Lazard's theorem that flat modules are direct limits of free modules, Hilbert's Syzygy Theorem, Quillen-Suslin's solution of Serre's problem about projectives over polynomial rings, Serre-Auslander-Buchsbaum characterization of regular local rings (and a sketch of unique factorization); * to groups -- Schur-Zassenhaus, Gaschutz's theorem on outer automorphisms of finite p-groups, Schur multiplier, cotorsion groups; * to sheaves -- sheaf cohomology, Cech cohomology, discussion of Riemann-Roch Theorem over compact Riemann surfaces. Learning Homological Algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes. Secondly, one must be able to compute these things using a separate language: that of spectral sequences. The basic properties of spectral sequences are developed using exact couples. All is done in the context of bicomplexes, for almost all applications of spectral sequences involve indices. Applications include Grothendieck spectral sequences, change of rings, Lyndon-Hochschild-Serre sequence, and theorems of Leray and Cartan computing sheaf cohomology. Joseph Rotman is Professor Emeritus of Mathematics at the University of Illinois at Urbana-Champaign. He is the author of numerous successful textbooks, including Advanced Modern Algebra (Prentice-Hall 2002), Galois Theory, 2nd Edition (Springer 1998) A First Course in Abstract Algebra (Prentice-Hall 1996), Introduction to the Theory of Groups, 4th Edition (Springer 1995), and Introduction to Algebraic Topology (Springer 1988) Nota de contenido: Hom and Tensor -- Special Modules -- Specific Rings -- Setting the Stage -- Homology -- Tor and Ext -- Homology and Rings -- Homology and Groups -- Spectral Sequences En línea: http://dx.doi.org/10.1007/b98977 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33837 Ejemplares
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Título : Advanced Algebra : Along with a companion volume Basic Algebra Tipo de documento: documento electrónico Autores: Anthony W. Knapp ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Otro editor: Imprint: Birkhäuser Colección: Cornerstones Número de páginas: XXV, 730 p. 46 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4613-4 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Algebraic geometry Category theory (Mathematics) Homological algebra Field (Physics) Nonassociative rings Rings (Algebra) Number Non-associative and Algebras Theory Polynomials Geometry Theory, Clasificación: 51 Matemáticas Resumen: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and features of Advanced Algebra: *Topics build upon the linear algebra, group theory, factorization of ideals, structure of fields, Galois theory, and elementary theory of modules as developed in Basic Algebra *Chapters treat various topics in commutative and noncommutative algebra, providing introductions to the theory of associative algebras, homological algebra, algebraic number theory, and algebraic geometry *Sections in two chapters relate the theory to the subject of Gröbner bases, the foundation for handling systems of polynomial equations in computer applications *Text emphasizes connections between algebra and other branches of mathematics, particularly topology and complex analysis *Book carries on two prominent themes recurring in Basic Algebra: the analogy between integers and polynomials in one variable over a field, and the relationship between number theory and geometry *Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems *The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; it includes blocks of problems that illuminate aspects of the text and introduce additional topics Advanced Algebra presents its subject matter in a forward-looking way that takes into account the historical development of the subject. It is suitable as a text for the more advanced parts of a two-semester first-year graduate sequence in algebra. It requires of the reader only a familiarity with the topics developed in Basic Algebra Nota de contenido: Transition to Modern Number Theory -- Wedderburn–Artin Ring Theory -- Brauer Group -- Homological Algebra -- Three Theorems in Algebraic Number Theory -- Reinterpretation with Adeles and Ideles -- Infinite Field Extensions -- Background for Algebraic Geometry -- The Number Theory of Algebraic Curves -- Methods of Algebraic Geometry En línea: http://dx.doi.org/10.1007/978-0-8176-4613-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34266 Advanced Algebra : Along with a companion volume Basic Algebra [documento electrónico] / Anthony W. Knapp ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2008 . - XXV, 730 p. 46 illus : online resource. - (Cornerstones) .
ISBN : 978-0-8176-4613-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Algebraic geometry Category theory (Mathematics) Homological algebra Field (Physics) Nonassociative rings Rings (Algebra) Number Non-associative and Algebras Theory Polynomials Geometry Theory, Clasificación: 51 Matemáticas Resumen: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and features of Advanced Algebra: *Topics build upon the linear algebra, group theory, factorization of ideals, structure of fields, Galois theory, and elementary theory of modules as developed in Basic Algebra *Chapters treat various topics in commutative and noncommutative algebra, providing introductions to the theory of associative algebras, homological algebra, algebraic number theory, and algebraic geometry *Sections in two chapters relate the theory to the subject of Gröbner bases, the foundation for handling systems of polynomial equations in computer applications *Text emphasizes connections between algebra and other branches of mathematics, particularly topology and complex analysis *Book carries on two prominent themes recurring in Basic Algebra: the analogy between integers and polynomials in one variable over a field, and the relationship between number theory and geometry *Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems *The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; it includes blocks of problems that illuminate aspects of the text and introduce additional topics Advanced Algebra presents its subject matter in a forward-looking way that takes into account the historical development of the subject. It is suitable as a text for the more advanced parts of a two-semester first-year graduate sequence in algebra. It requires of the reader only a familiarity with the topics developed in Basic Algebra Nota de contenido: Transition to Modern Number Theory -- Wedderburn–Artin Ring Theory -- Brauer Group -- Homological Algebra -- Three Theorems in Algebraic Number Theory -- Reinterpretation with Adeles and Ideles -- Infinite Field Extensions -- Background for Algebraic Geometry -- The Number Theory of Algebraic Curves -- Methods of Algebraic Geometry En línea: http://dx.doi.org/10.1007/978-0-8176-4613-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34266 Ejemplares
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Título : Algebraic Operads Tipo de documento: documento electrónico Autores: Jean-Louis Loday ; SpringerLink (Online service) ; Bruno Vallette Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, ISSN 0072-7830 num. 346 Número de páginas: XXIV, 636 p Il.: online resource ISBN/ISSN/DL: 978-3-642-30362-3 Idioma : Inglés (eng) Palabras clave: Mathematics Category theory (Mathematics) Homological algebra Nonassociative rings Rings (Algebra) Algebraic topology Manifolds Complex manifolds Theory, Algebra Non-associative and Algebras Topology Cell Complexes (incl. Diff.Topology) Clasificación: 51 Matemáticas Resumen: In many areas of mathematics some “higher operations” are arising. These have become so important that several research projects refer to such expressions. Higher operations form new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to algebraic operads. An operad is an algebraic device that serves to study all kinds of algebras (associative, commutative, Lie, Poisson, A-infinity, etc.) from a conceptual point of view. The book presents this topic with an emphasis on Koszul duality theory. After a modern treatment of Koszul duality for associative algebras, the theory is extended to operads. Applications to homotopy algebra are given, for instance the HomotopyTransfer Theorem. Although the necessary notions of algebra are recalled, readers areexpected to be familiar with elementary homological algebra. Each chapter ends with a helpful summary and exercises. A full chapter is devoted to examples, and numerous figures are included. After an elementary chapter on classical algebra, accessible to undergraduate students, the level increases gradually through the book. However, the authors have done their best to make it suitable for graduate students: three appendices review the basic results needed in order to understand the various chapters. Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers. Nota de contenido: Preface -- 1.Algebras, coalgebras, homology -- 2.Twisting morphisms -- 3.Koszul duality for associative algebras -- 4.Methods to prove Koszulity of an algebra -- 5.Algebraic operad -- 6 Operadic homological algebra -- 7.Koszul duality of operads -- 8.Methods to prove Koszulity of an operad -- 9.The operads As and A\infty -- 10.Homotopy operadic algebras -- 11.Bar and cobar construction of an algebra over an operad -- 12.(Co)homology of algebras over an operad -- 13.Examples of algebraic operads -- Apendices: A.The symmetric group -- B.Categories -- C.Trees -- References -- Index -- List of Notation En línea: http://dx.doi.org/10.1007/978-3-642-30362-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32989 Algebraic Operads [documento electrónico] / Jean-Louis Loday ; SpringerLink (Online service) ; Bruno Vallette . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012 . - XXIV, 636 p : online resource. - (Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, ISSN 0072-7830; 346) .
ISBN : 978-3-642-30362-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Category theory (Mathematics) Homological algebra Nonassociative rings Rings (Algebra) Algebraic topology Manifolds Complex manifolds Theory, Algebra Non-associative and Algebras Topology Cell Complexes (incl. Diff.Topology) Clasificación: 51 Matemáticas Resumen: In many areas of mathematics some “higher operations” are arising. These have become so important that several research projects refer to such expressions. Higher operations form new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to algebraic operads. An operad is an algebraic device that serves to study all kinds of algebras (associative, commutative, Lie, Poisson, A-infinity, etc.) from a conceptual point of view. The book presents this topic with an emphasis on Koszul duality theory. After a modern treatment of Koszul duality for associative algebras, the theory is extended to operads. Applications to homotopy algebra are given, for instance the HomotopyTransfer Theorem. Although the necessary notions of algebra are recalled, readers areexpected to be familiar with elementary homological algebra. Each chapter ends with a helpful summary and exercises. A full chapter is devoted to examples, and numerous figures are included. After an elementary chapter on classical algebra, accessible to undergraduate students, the level increases gradually through the book. However, the authors have done their best to make it suitable for graduate students: three appendices review the basic results needed in order to understand the various chapters. Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers. Nota de contenido: Preface -- 1.Algebras, coalgebras, homology -- 2.Twisting morphisms -- 3.Koszul duality for associative algebras -- 4.Methods to prove Koszulity of an algebra -- 5.Algebraic operad -- 6 Operadic homological algebra -- 7.Koszul duality of operads -- 8.Methods to prove Koszulity of an operad -- 9.The operads As and A\infty -- 10.Homotopy operadic algebras -- 11.Bar and cobar construction of an algebra over an operad -- 12.(Co)homology of algebras over an operad -- 13.Examples of algebraic operads -- Apendices: A.The symmetric group -- B.Categories -- C.Trees -- References -- Index -- List of Notation En línea: http://dx.doi.org/10.1007/978-3-642-30362-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32989 Ejemplares
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Título : Categories and Commutative Algebra Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; P. Salmon Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: C.I.M.E. Summer Schools num. 58 Número de páginas: 338 p. 83 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-10979-9 Idioma : Inglés (eng) Palabras clave: Mathematics Category theory (Mathematics) Homological algebra Commutative rings Theory, Algebra Rings and Algebras Clasificación: 51 Matemáticas Resumen: L. Badescu: Sur certaines singularités des variétés algébriques.- D.A. Buchsbaum: Homological and commutative algebra.- S. Greco: Anelli Henseliani.- C. Lair: Morphismes et structures algébriques.- B.A. Mitchell: Introduction to category theory and homological algebra.- R. Rivet: Anneaux de séries formelles et anneaux henseliens.- P. Salmon: Applicazioni della K-teoria all’algebra commutativa.- M. Tierney: Axiomatic sheaf theory: some constructions and applications.- C.B. Winters: An elementary lecture on algebraic spaces Nota de contenido: L. Badescu: Sur certaines singularités des variétés algébriques -- D.A. Buchsbaum: Homological and commutative algebra -- S. Greco: Anelli Henseliani -- C. Lair: Morphismes et structures algébriques -- B.A. Mitchell: Introduction to category theory and homological algebra -- R. Rivet: Anneaux de séries formelles et anneaux henseliens -- P. Salmon: Applicazioni della K-teoria all’algebra commutativa -- M. Tierney: Axiomatic sheaf theory: some constructions and applications -- C.B. Winters: An elementary lecture on algebraic spaces En línea: http://dx.doi.org/10.1007/978-3-642-10979-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33310 Categories and Commutative Algebra [documento electrónico] / SpringerLink (Online service) ; P. Salmon . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - 338 p. 83 illus : online resource. - (C.I.M.E. Summer Schools; 58) .
ISBN : 978-3-642-10979-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Category theory (Mathematics) Homological algebra Commutative rings Theory, Algebra Rings and Algebras Clasificación: 51 Matemáticas Resumen: L. Badescu: Sur certaines singularités des variétés algébriques.- D.A. Buchsbaum: Homological and commutative algebra.- S. Greco: Anelli Henseliani.- C. Lair: Morphismes et structures algébriques.- B.A. Mitchell: Introduction to category theory and homological algebra.- R. Rivet: Anneaux de séries formelles et anneaux henseliens.- P. Salmon: Applicazioni della K-teoria all’algebra commutativa.- M. Tierney: Axiomatic sheaf theory: some constructions and applications.- C.B. Winters: An elementary lecture on algebraic spaces Nota de contenido: L. Badescu: Sur certaines singularités des variétés algébriques -- D.A. Buchsbaum: Homological and commutative algebra -- S. Greco: Anelli Henseliani -- C. Lair: Morphismes et structures algébriques -- B.A. Mitchell: Introduction to category theory and homological algebra -- R. Rivet: Anneaux de séries formelles et anneaux henseliens -- P. Salmon: Applicazioni della K-teoria all’algebra commutativa -- M. Tierney: Axiomatic sheaf theory: some constructions and applications -- C.B. Winters: An elementary lecture on algebraic spaces En línea: http://dx.doi.org/10.1007/978-3-642-10979-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33310 Ejemplares
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