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Título : Some Aspects of Ring Theory Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; I. N. Herstein Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: C.I.M.E. Summer Schools num. 37 Número de páginas: 246 p Il.: online resource ISBN/ISSN/DL: 978-3-642-11036-8 Idioma : Inglés (eng) Palabras clave: Mathematics Associative rings Rings (Algebra) Functions of complex variables and Algebras Several Complex Variables Analytic Spaces Clasificación: 51 Matemáticas Resumen: S. Amitsur: Associative rings with identities.- I.N. Herstein: Topics in ring theory.- N. Jacobson: Representation theory of Jordan algebras.- I. Kaplansky: The theory of homological dimension.- D. Buchsbaum: Complexes in local ring theory.- P.H. Cohn: Two topics in ring theory.- A.W. Goldie: Non-commutative localisation Nota de contenido: S. Amitsur: Associative rings with identities -- I.N. Herstein: Topics in ring theory -- N. Jacobson: Representation theory of Jordan algebras -- I. Kaplansky: The theory of homological dimension -- D. Buchsbaum: Complexes in local ring theory -- P.H. Cohn: Two topics in ring theory -- A.W. Goldie: Non-commutative localisation En línea: http://dx.doi.org/10.1007/978-3-642-11036-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33329 Some Aspects of Ring Theory [documento electrónico] / SpringerLink (Online service) ; I. N. Herstein . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - 246 p : online resource. - (C.I.M.E. Summer Schools; 37) .
ISBN : 978-3-642-11036-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Associative rings Rings (Algebra) Functions of complex variables and Algebras Several Complex Variables Analytic Spaces Clasificación: 51 Matemáticas Resumen: S. Amitsur: Associative rings with identities.- I.N. Herstein: Topics in ring theory.- N. Jacobson: Representation theory of Jordan algebras.- I. Kaplansky: The theory of homological dimension.- D. Buchsbaum: Complexes in local ring theory.- P.H. Cohn: Two topics in ring theory.- A.W. Goldie: Non-commutative localisation Nota de contenido: S. Amitsur: Associative rings with identities -- I.N. Herstein: Topics in ring theory -- N. Jacobson: Representation theory of Jordan algebras -- I. Kaplansky: The theory of homological dimension -- D. Buchsbaum: Complexes in local ring theory -- P.H. Cohn: Two topics in ring theory -- A.W. Goldie: Non-commutative localisation En línea: http://dx.doi.org/10.1007/978-3-642-11036-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33329 Ejemplares
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Título : Functional Identities Tipo de documento: documento electrónico Autores: Matej Brešar ; SpringerLink (Online service) ; Mikhail A. Chebotar ; Wallace S. Martindale Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2007 Colección: Frontiers in Mathematics, ISSN 1660-8046 Número de páginas: XII, 272 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7796-0 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Functional analysis and Algebras Analysis Clasificación: 51 Matemáticas Resumen: The theory of functional identities (FIs) is a relatively new one - the first results were published at the beginning of the 1990s, and this is the first book on this subject. An FI can be informally described as an identical relation involving arbitrary elements in an associative ring together with arbitrary (unknown) functions. The goal of the general FI theory is to describe these functions, or, when this is not possible, to describe the structure of the ring admitting the FI in question. This abstract theory has turned out to be a powerful tool for solving a variety of problems in ring theory, Lie algebras, Jordan algebras, linear algebra, and operator theory. The book is divided into three parts. Part I is an introductory one. Part II is the core of the book. It gives a full account of the general FI theory, which is based on the concept of a d-free set; various constructions and concrete examples of d-free sets are given, and FI’s on d-free sets are thoroughly studied. Part III deals with applications. Its main purpose is to demonstrate how one can find FI’s when considering different problems, and then effectively use the general theory exposed in Part II. Perhaps the most illuminating example of the applicability are solutions of long-standing Herstein’s conjectures on Lie homomorphisms and Lie derivations - in the proofs practically the entire FI theory is used Nota de contenido: An Introductory Course -- What is a Functional Identity? -- The Strong Degree and the FI-Degree -- The General Theory -- Constructing d-Free Sets -- Functional Identities on d-Free Sets -- Functional Identities in (Semi)prime Rings -- Applications -- Lie Maps and Related Topics -- Linear Preserver Problems -- Further Applications to Lie Algebras En línea: http://dx.doi.org/10.1007/978-3-7643-7796-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34689 Functional Identities [documento electrónico] / Matej Brešar ; SpringerLink (Online service) ; Mikhail A. Chebotar ; Wallace S. Martindale . - Basel : Birkhäuser Basel, 2007 . - XII, 272 p : online resource. - (Frontiers in Mathematics, ISSN 1660-8046) .
ISBN : 978-3-7643-7796-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Functional analysis and Algebras Analysis Clasificación: 51 Matemáticas Resumen: The theory of functional identities (FIs) is a relatively new one - the first results were published at the beginning of the 1990s, and this is the first book on this subject. An FI can be informally described as an identical relation involving arbitrary elements in an associative ring together with arbitrary (unknown) functions. The goal of the general FI theory is to describe these functions, or, when this is not possible, to describe the structure of the ring admitting the FI in question. This abstract theory has turned out to be a powerful tool for solving a variety of problems in ring theory, Lie algebras, Jordan algebras, linear algebra, and operator theory. The book is divided into three parts. Part I is an introductory one. Part II is the core of the book. It gives a full account of the general FI theory, which is based on the concept of a d-free set; various constructions and concrete examples of d-free sets are given, and FI’s on d-free sets are thoroughly studied. Part III deals with applications. Its main purpose is to demonstrate how one can find FI’s when considering different problems, and then effectively use the general theory exposed in Part II. Perhaps the most illuminating example of the applicability are solutions of long-standing Herstein’s conjectures on Lie homomorphisms and Lie derivations - in the proofs practically the entire FI theory is used Nota de contenido: An Introductory Course -- What is a Functional Identity? -- The Strong Degree and the FI-Degree -- The General Theory -- Constructing d-Free Sets -- Functional Identities on d-Free Sets -- Functional Identities in (Semi)prime Rings -- Applications -- Lie Maps and Related Topics -- Linear Preserver Problems -- Further Applications to Lie Algebras En línea: http://dx.doi.org/10.1007/978-3-7643-7796-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34689 Ejemplares
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Título : Abstract Algebra Tipo de documento: documento electrónico Autores: Pierre Antoine Grillet ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: Graduate Texts in Mathematics, ISSN 0072-5285 num. 242 Número de páginas: XII, 674 p Il.: online resource ISBN/ISSN/DL: 978-0-387-71568-1 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Group theory and Algebras Theory Generalizations Clasificación: 51 Matemáticas Resumen: "Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty. For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics. From a review of the First Edition: ...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence. - Werner Kleinert, Zentralblatt Nota de contenido: Groups -- Structure of Groups -- Rings -- Field Extensions -- Galois Theory -- Fields with Orders or Valuations -- Commutative Rings -- Modules -- Semisimple Rings and Modules -- Projectives and Injectives -- Constructions -- Ext and Tor -- Algebras -- Lattices -- Universal Algebra -- Categories En línea: http://dx.doi.org/10.1007/978-0-387-71568-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34527 Abstract Algebra [documento electrónico] / Pierre Antoine Grillet ; SpringerLink (Online service) . - New York, NY : Springer New York, 2007 . - XII, 674 p : online resource. - (Graduate Texts in Mathematics, ISSN 0072-5285; 242) .
ISBN : 978-0-387-71568-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Group theory and Algebras Theory Generalizations Clasificación: 51 Matemáticas Resumen: "Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty. For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics. From a review of the First Edition: ...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence. - Werner Kleinert, Zentralblatt Nota de contenido: Groups -- Structure of Groups -- Rings -- Field Extensions -- Galois Theory -- Fields with Orders or Valuations -- Commutative Rings -- Modules -- Semisimple Rings and Modules -- Projectives and Injectives -- Constructions -- Ext and Tor -- Algebras -- Lattices -- Universal Algebra -- Categories En línea: http://dx.doi.org/10.1007/978-0-387-71568-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34527 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Advances in Ring Theory / SpringerLink (Online service) ; Dinh Van Huynh ; Sergio R. López-Permouth (2010)
Título : Advances in Ring Theory Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Dinh Van Huynh ; Sergio R. López-Permouth Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Trends in Mathematics Número de páginas: IX, 345 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0286-0 Idioma : Inglés (eng) Palabras clave: Mathematics Associative rings Rings (Algebra) Commutative algebra and Algebras Clasificación: 51 Matemáticas Resumen: This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra Nota de contenido: Applications of Cogalois Theory to Elementary Field Arithmetic -- On Big Lattices of Classes of R-modules Defined by Closure Properties -- Reversible and Duo Group Rings -- Principally Quasi-Baer Ring Hulls -- Strongly Prime Ideals of Near-rings of Continuous Functions -- Elements of Minimal Prime Ideals in General Rings -- On a Theorem of Camps and Dicks -- Applications of the Stone Duality in the Theory of Precompact Boolean Rings -- Over Rings and Functors -- On Some Classes of Repeated-root Constacyclic Codes of Length a Power of 2 over Galois Rings -- Couniformly Presented Modules and Dualities -- Semiclassical Limits of Quantized Coordinate Rings -- On Unit-Central Rings -- Symplectic Modules and von Neumann Regular Matrices over Commutative Rings -- Extensions of Simple Modules and the Converse of Schur’s Lemma -- Report on Exchange Rings -- Filtrations in Semisimple Lie Algebras, III -- On the Blowing-up Rings, Arf Rings and Type Sequences -- A Guide to Supertropical Algebra -- Projective Modules, Idempotent Ideals and Intersection Theorems -- On Ef-extending Modules and Rings with Chain Conditions -- On Clean Group Rings En línea: http://dx.doi.org/10.1007/978-3-0346-0286-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33672 Advances in Ring Theory [documento electrónico] / SpringerLink (Online service) ; Dinh Van Huynh ; Sergio R. López-Permouth . - Basel : Birkhäuser Basel, 2010 . - IX, 345 p : online resource. - (Trends in Mathematics) .
ISBN : 978-3-0346-0286-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Associative rings Rings (Algebra) Commutative algebra and Algebras Clasificación: 51 Matemáticas Resumen: This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra Nota de contenido: Applications of Cogalois Theory to Elementary Field Arithmetic -- On Big Lattices of Classes of R-modules Defined by Closure Properties -- Reversible and Duo Group Rings -- Principally Quasi-Baer Ring Hulls -- Strongly Prime Ideals of Near-rings of Continuous Functions -- Elements of Minimal Prime Ideals in General Rings -- On a Theorem of Camps and Dicks -- Applications of the Stone Duality in the Theory of Precompact Boolean Rings -- Over Rings and Functors -- On Some Classes of Repeated-root Constacyclic Codes of Length a Power of 2 over Galois Rings -- Couniformly Presented Modules and Dualities -- Semiclassical Limits of Quantized Coordinate Rings -- On Unit-Central Rings -- Symplectic Modules and von Neumann Regular Matrices over Commutative Rings -- Extensions of Simple Modules and the Converse of Schur’s Lemma -- Report on Exchange Rings -- Filtrations in Semisimple Lie Algebras, III -- On the Blowing-up Rings, Arf Rings and Type Sequences -- A Guide to Supertropical Algebra -- Projective Modules, Idempotent Ideals and Intersection Theorems -- On Ef-extending Modules and Rings with Chain Conditions -- On Clean Group Rings En línea: http://dx.doi.org/10.1007/978-3-0346-0286-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33672 Ejemplares
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Título : Algebras, Quivers and Representations : The Abel Symposium 2011 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Aslak Bakke Buan ; Idun Reiten ; Øyvind Solberg Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Abel Symposia, ISSN 2193-2808 num. 8 Número de páginas: XX, 298 p Il.: online resource ISBN/ISSN/DL: 978-3-642-39485-0 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Algebraic geometry Associative rings Rings (Algebra) Category theory (Mathematics) Homological algebra Commutative Dynamics Ergodic and Algebras Geometry Theory, Dynamical Systems Theory Clasificación: 51 Matemáticas Resumen: This book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulated categories Nota de contenido: C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions -- L. Avramov : (Contravariant) Koszul duality for DG algebras -- R. Buchweitz: The fundamental group of a morphism in a triangulated category -- K. Erdmann: On Hochschild cohomology of weakly symmetric special biserial algebras -- D. Happel: Algebras of finite global dimension -- K. Igusa (with G. Todorov): Continuous Frobenius categories -- D.A. Jorgensen: Triangle functors from generic hypersurfaces -- Y. Kodama (with L. Williams): Combinatorics of KP solutions from the real Grassmannian -- H. Krause: Morphisms determined by objects in triangulated categories -- P. Malicki (with J. A. de la Pena and A. Skowronski): Cycle-finite module categories -- J.A. de la Pena, P. Malicki and A. Skowronski: Cycle-finite module categories -- C.M. Ringel: Distinguished bases of exceptional modules -- A. Skowronski (with P. Malicki and J. A. de la Pena): Cycle-finite module categories -- D. Speyer and H. Thomas: Acyclic cluster algebras revisited -- H. Thomas and D. Speyer: Acyclic cluster algebras revisited -- G. Todorov and K. Igusa: Continuous Frobenius categories -- L. Williams and Y. Kodama: Combinatorics of KP solutions from the real Grassmannian -- D. Zacharia and D. Happel: Algebras of finite global dimension En línea: http://dx.doi.org/10.1007/978-3-642-39485-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32598 Algebras, Quivers and Representations : The Abel Symposium 2011 [documento electrónico] / SpringerLink (Online service) ; Aslak Bakke Buan ; Idun Reiten ; Øyvind Solberg . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - XX, 298 p : online resource. - (Abel Symposia, ISSN 2193-2808; 8) .
ISBN : 978-3-642-39485-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Algebraic geometry Associative rings Rings (Algebra) Category theory (Mathematics) Homological algebra Commutative Dynamics Ergodic and Algebras Geometry Theory, Dynamical Systems Theory Clasificación: 51 Matemáticas Resumen: This book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulated categories Nota de contenido: C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions -- L. Avramov : (Contravariant) Koszul duality for DG algebras -- R. Buchweitz: The fundamental group of a morphism in a triangulated category -- K. Erdmann: On Hochschild cohomology of weakly symmetric special biserial algebras -- D. Happel: Algebras of finite global dimension -- K. Igusa (with G. Todorov): Continuous Frobenius categories -- D.A. Jorgensen: Triangle functors from generic hypersurfaces -- Y. Kodama (with L. Williams): Combinatorics of KP solutions from the real Grassmannian -- H. Krause: Morphisms determined by objects in triangulated categories -- P. Malicki (with J. A. de la Pena and A. Skowronski): Cycle-finite module categories -- J.A. de la Pena, P. Malicki and A. Skowronski: Cycle-finite module categories -- C.M. Ringel: Distinguished bases of exceptional modules -- A. Skowronski (with P. Malicki and J. A. de la Pena): Cycle-finite module categories -- D. Speyer and H. Thomas: Acyclic cluster algebras revisited -- H. Thomas and D. Speyer: Acyclic cluster algebras revisited -- G. Todorov and K. Igusa: Continuous Frobenius categories -- L. Williams and Y. Kodama: Combinatorics of KP solutions from the real Grassmannian -- D. Zacharia and D. Happel: Algebras of finite global dimension En línea: http://dx.doi.org/10.1007/978-3-642-39485-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32598 Ejemplares
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