The Homological Algebra Of Trivial Extensions Of Abelian Categories With Applications Ot Ring Theory
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Trivial Extensions Of Abelian Categories
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Author : R.M. Fossum
language : en
Publisher: Springer
Release Date : 2006-11-15
Trivial Extensions Of Abelian Categories written by R.M. Fossum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The Homological Algebra Of Trivial Extensions Of Abelian Categories With Applications Ot Ring Theory
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Author :
language : en
Publisher:
Release Date : 1972
The Homological Algebra Of Trivial Extensions Of Abelian Categories With Applications Ot Ring Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Trivial Extensions Of Abelian Categories
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Author : Robert M. Fossum
language : en
Publisher:
Release Date : 1975
Trivial Extensions Of Abelian Categories written by Robert M. Fossum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Abelian categories categories.
K Theory And Homological Algebra
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Author : Hvedri Inassaridze
language : en
Publisher: Springer
Release Date : 2006-11-14
K Theory And Homological Algebra written by Hvedri Inassaridze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Maximal Cohen Macaulay Modules And Tate Cohomology
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Author : Ragnar-Olaf Buchweitz
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-16
Maximal Cohen Macaulay Modules And Tate Cohomology written by Ragnar-Olaf Buchweitz and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.
This book is a lightly edited version of the unpublished manuscript Maximal Cohen–Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz. The central objects of study are maximal Cohen–Macaulay modules over (not necessarily commutative) Gorenstein rings. The main result is that the stable category of maximal Cohen–Macaulay modules over a Gorenstein ring is equivalent to the stable derived category and also to the homotopy category of acyclic complexes of projective modules. This assimilates and significantly extends earlier work of Eisenbud on hypersurface singularities. There is also an extensive discussion of duality phenomena in stable derived categories, extending Tate duality on cohomology of finite groups. Another noteworthy aspect is an extension of the classical BGG correspondence to super-algebras. There are numerous examples that illustrate these ideas. The text includes a survey of developments subsequent to, and connected with, Buchweitz's manuscript.
Ring Theory 2007
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Author : Hidetoshi Marubayashi
language : en
Publisher: World Scientific
Release Date : 2009
Ring Theory 2007 written by Hidetoshi Marubayashi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Ring theory has been developing through the interaction between the investigation of its own algebraic structure and its application to many areas of mathematics, computer science, and physics among others.This volume consists of a collection of survey articles by invited speakers and original articles refereed by world experts that was presented at the fifth China-Japan-Korea International Symposium. The survey articles provide some ideas of the application as well as an excellent overview of the various areas in ring theory. The original articles exhibit new ideas, tools and techniques needed for successful research investigation in ring theory and show the trend of current research.The articles cover all of the most important areas in ring theory, making this volume a useful resource book for researchers in mathematics ? both beginners and advanced experts.
Brauer Groups In Ring Theory And Algebraic Geometry
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Author : F. van Oystaeyen
language : en
Publisher: Springer
Release Date : 2006-11-14
Brauer Groups In Ring Theory And Algebraic Geometry written by F. van Oystaeyen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Surveys In Representation Theory Of Algebras
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Author : Alex Martsinkovsky
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-09-12
Surveys In Representation Theory Of Algebras written by Alex Martsinkovsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-12 with Mathematics categories.
This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. Reflecting the diverse landscape of modern representation theory of algebras, the selected articles include: a quick introduction to silting modules; a survey on the first decade of co-t-structures in triangulated categories; a functorial approach to the notion of module; a representation-theoretic approach to recollements in abelian categories; new examples of applications of relative homological algebra; connections between Coxeter groups and quiver representations; and recent progress on limits of approximation theory.
The Homological Algebra Of Trivial Extensions Of Abelian Categories With Application To Ring Theory
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Author : Robert Merle Fossum
language : en
Publisher:
Release Date : 1972
The Homological Algebra Of Trivial Extensions Of Abelian Categories With Application To Ring Theory written by Robert Merle Fossum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Abelian categories categories.
Algebra Representation Theory
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Author : Klaus W. Roggenkamp
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-08-31
Algebra Representation Theory written by Klaus W. Roggenkamp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-31 with Mathematics categories.
Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development through the powerful tool of almost split sequences and the Auslander-Reiten quiver. Further insight into the homology of finite groups has illuminated their representation theory. The study of Hopf algebras and non-commutative geometry is another new branch of representation theory which pushes the classical theory further. All this can only be seen in connection with an understanding of the structure of special classes of rings. The aim of this book is to introduce the reader to some modern developments in: Lie algebras, quantum groups, Hopf algebras and algebraic groups; non-commutative algebraic geometry; representation theory of finite groups and cohomology; the structure of special classes of rings.