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Título : Algebras, Rings and Modules Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Michiel Hazewinkel ; Nadiya Gubareni ; Kirichenko, V. V. Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2007 Colección: Mathematics and Its Applications num. 586 Número de páginas: XII, 400 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-5141-8 Idioma : Inglés (eng) Palabras clave: Mathematics Associative rings Rings (Algebra) Category theory (Mathematics) Homological algebra Commutative Matrix Algebra and Algebras Theory, Linear Multilinear Algebras, Theory Clasificación: 51 Matemáticas Resumen: As a natural continuation of the first volume of Algebras, Rings and Modules, this book provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. Detailed attention is given to special classes of algebras and rings including Frobenius, quasi-Frobenius, right serial rings and tiled orders using the technique of quivers. The most important recent developments in the theory of these rings are examined. The Cartan Determinant Conjecture and some properties of global dimensions of different classes of rings are also given. The last chapters of this volume provide the theory of semiprime Noetherian semiperfect and semidistributive rings. Of course, this book is mainly aimed at researchers in the theory of rings and algebras but graduate and postgraduate students, especially those using algebraic techniques, should also find this book of interest Nota de contenido: Groups and group representations -- Quivers and their representations -- Representations of posets and of finite dimensional algebras -- Frobenius algebras and quasi-Frobenius rings -- Right serial rings -- Tiled orders over discrete valuation rings -- Gorenstein matrices En línea: http://dx.doi.org/10.1007/978-1-4020-5141-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34573 Algebras, Rings and Modules [documento electrónico] / SpringerLink (Online service) ; Michiel Hazewinkel ; Nadiya Gubareni ; Kirichenko, V. V. . - Dordrecht : Springer Netherlands, 2007 . - XII, 400 p : online resource. - (Mathematics and Its Applications; 586) .
ISBN : 978-1-4020-5141-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Associative rings Rings (Algebra) Category theory (Mathematics) Homological algebra Commutative Matrix Algebra and Algebras Theory, Linear Multilinear Algebras, Theory Clasificación: 51 Matemáticas Resumen: As a natural continuation of the first volume of Algebras, Rings and Modules, this book provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. Detailed attention is given to special classes of algebras and rings including Frobenius, quasi-Frobenius, right serial rings and tiled orders using the technique of quivers. The most important recent developments in the theory of these rings are examined. The Cartan Determinant Conjecture and some properties of global dimensions of different classes of rings are also given. The last chapters of this volume provide the theory of semiprime Noetherian semiperfect and semidistributive rings. Of course, this book is mainly aimed at researchers in the theory of rings and algebras but graduate and postgraduate students, especially those using algebraic techniques, should also find this book of interest Nota de contenido: Groups and group representations -- Quivers and their representations -- Representations of posets and of finite dimensional algebras -- Frobenius algebras and quasi-Frobenius rings -- Right serial rings -- Tiled orders over discrete valuation rings -- Gorenstein matrices En línea: http://dx.doi.org/10.1007/978-1-4020-5141-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34573 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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Título : Algebras, Rings and Modules : Volume 1 Tipo de documento: documento electrónico Autores: Michiel Hazewinkel ; SpringerLink (Online service) ; Nadiya Gubareni ; Kirichenko, V. V. Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2005 Colección: Mathematics and Its Applications num. 575 Número de páginas: XII, 380 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-2691-1 Idioma : Inglés (eng) Palabras clave: Mathematics Associative rings Rings (Algebra) Commutative algebra and Algebras Clasificación: 51 Matemáticas Nota de contenido: Preliminaries -- Decompositions of rings -- Artinian and Noetherian rings -- Categories and functors -- Projectives, injectives and flats -- Homological dimensions -- Integral domains -- Dedekind domains -- Goldie rings -- Semiperfect rings -- Quivers of rings -- Serial rings and modules -- Serial rings and their properties -- Semiperfect semidistributive rings En línea: http://dx.doi.org/10.1007/1-4020-2691-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35204 Algebras, Rings and Modules : Volume 1 [documento electrónico] / Michiel Hazewinkel ; SpringerLink (Online service) ; Nadiya Gubareni ; Kirichenko, V. V. . - Dordrecht : Springer Netherlands, 2005 . - XII, 380 p : online resource. - (Mathematics and Its Applications; 575) .
ISBN : 978-1-4020-2691-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Associative rings Rings (Algebra) Commutative algebra and Algebras Clasificación: 51 Matemáticas Nota de contenido: Preliminaries -- Decompositions of rings -- Artinian and Noetherian rings -- Categories and functors -- Projectives, injectives and flats -- Homological dimensions -- Integral domains -- Dedekind domains -- Goldie rings -- Semiperfect rings -- Quivers of rings -- Serial rings and modules -- Serial rings and their properties -- Semiperfect semidistributive rings En línea: http://dx.doi.org/10.1007/1-4020-2691-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35204 Ejemplares
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Título : Algebra : Fields with Structure, Algebras and Advanced Topics Tipo de documento: documento electrónico Autores: Falko Lorenz ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2008 Número de páginas: X, 340 p Il.: online resource ISBN/ISSN/DL: 978-0-387-72488-1 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Commutative algebra rings Field theory (Physics) Matrix Number Rings and Algebras Theory Polynomials Linear Multilinear Algebras, Clasificación: 51 Matemáticas Resumen: The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews Nota de contenido: Ordered Fields and Real Fields -- Hilbert's Seventeenth Problem and the Real Nullstellensatz -- Orders and Quadratic Forms -- Absolute Values on Fields -- Residue Class Degree and Ramification Index -- Local Fields -- Witt Vectors -- The Tsen Rank of a Field -- Fundamentals of Modules -- Wedderburn Theory -- Crossed Products -- The Brauer Group of a Local Field -- Local Class Field Theory -- Semisimple Representations of Finite Groups -- The Schur Group of a Field En línea: http://dx.doi.org/10.1007/978-0-387-72488-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34169 Algebra : Fields with Structure, Algebras and Advanced Topics [documento electrónico] / Falko Lorenz ; SpringerLink (Online service) . - New York, NY : Springer New York, 2008 . - X, 340 p : online resource.
ISBN : 978-0-387-72488-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Commutative algebra rings Field theory (Physics) Matrix Number Rings and Algebras Theory Polynomials Linear Multilinear Algebras, Clasificación: 51 Matemáticas Resumen: The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews Nota de contenido: Ordered Fields and Real Fields -- Hilbert's Seventeenth Problem and the Real Nullstellensatz -- Orders and Quadratic Forms -- Absolute Values on Fields -- Residue Class Degree and Ramification Index -- Local Fields -- Witt Vectors -- The Tsen Rank of a Field -- Fundamentals of Modules -- Wedderburn Theory -- Crossed Products -- The Brauer Group of a Local Field -- Local Class Field Theory -- Semisimple Representations of Finite Groups -- The Schur Group of a Field En línea: http://dx.doi.org/10.1007/978-0-387-72488-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34169 Ejemplares
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Título : Compact Lie Groups Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sepanski, Mark R Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: Graduate Texts in Mathematics, ISSN 0072-5285 num. 235 Número de páginas: XIII, 201 p Il.: online resource ISBN/ISSN/DL: 978-0-387-49158-5 Idioma : Inglés (eng) Palabras clave: Mathematics Associative rings Rings (Algebra) Matrix theory Algebra Topological groups Lie Mathematical analysis Analysis (Mathematics) Differential geometry Groups, Groups Linear and Multilinear Algebras, Theory Algebras Geometry Clasificación: 51 Matemáticas Resumen: Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Included is the construction of the Spin groups, Schur Orthogonality, the Peter–Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel–Weil Theorem. The necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups. Key Features: • Provides an approach that minimizes advanced prerequisites • Self-contained and systematic exposition requiring no previous exposure to Lie theory • Advances quickly to the Peter–Weyl Theorem and its corresponding Fourier theory • Streamlined Lie algebra discussion reduces the differential geometry prerequisite and allows a more rapid transition to the classification and construction of representations • Exercises sprinkled throughout This beginning graduate-level text, aimed primarily at Lie Groups courses and related topics, assumes familiarity with elementary concepts from group theory, analysis, and manifold theory. Students, research mathematicians, and physicists interested in Lie theory will find this text very useful Nota de contenido: Compact Lie Groups -- Representations -- HarmoniC Analysis -- Lie Algebras -- Abelian Lie Subgroups and Structure -- Roots and Associated Structures -- Highest Weight Theory En línea: http://dx.doi.org/10.1007/978-0-387-49158-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34488 Compact Lie Groups [documento electrónico] / SpringerLink (Online service) ; Sepanski, Mark R . - New York, NY : Springer New York, 2007 . - XIII, 201 p : online resource. - (Graduate Texts in Mathematics, ISSN 0072-5285; 235) .
ISBN : 978-0-387-49158-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Associative rings Rings (Algebra) Matrix theory Algebra Topological groups Lie Mathematical analysis Analysis (Mathematics) Differential geometry Groups, Groups Linear and Multilinear Algebras, Theory Algebras Geometry Clasificación: 51 Matemáticas Resumen: Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Included is the construction of the Spin groups, Schur Orthogonality, the Peter–Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel–Weil Theorem. The necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups. Key Features: • Provides an approach that minimizes advanced prerequisites • Self-contained and systematic exposition requiring no previous exposure to Lie theory • Advances quickly to the Peter–Weyl Theorem and its corresponding Fourier theory • Streamlined Lie algebra discussion reduces the differential geometry prerequisite and allows a more rapid transition to the classification and construction of representations • Exercises sprinkled throughout This beginning graduate-level text, aimed primarily at Lie Groups courses and related topics, assumes familiarity with elementary concepts from group theory, analysis, and manifold theory. Students, research mathematicians, and physicists interested in Lie theory will find this text very useful Nota de contenido: Compact Lie Groups -- Representations -- HarmoniC Analysis -- Lie Algebras -- Abelian Lie Subgroups and Structure -- Roots and Associated Structures -- Highest Weight Theory En línea: http://dx.doi.org/10.1007/978-0-387-49158-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34488 Ejemplares
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