Representation Of Rings By Sections
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Representation Of Rings By Sections
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Author : John Dauns
language : en
Publisher: American Mathematical Soc.
Release Date : 1968
Representation Of Rings By Sections written by John Dauns 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 1968 with Algebra categories.
The Theory Of Rings
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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1968
The Theory Of Rings written by Nathan Jacobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Algebraic fields categories.
Recent Advances In The Representation Theory Of Rings And C Algebras By Continuous Sections
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Author : Karl H. Hofmann
language : en
Publisher:
Release Date : 1974
Recent Advances In The Representation Theory Of Rings And C Algebras By Continuous Sections written by Karl H. Hofmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Rings With Polynomial Identities And Finite Dimensional Representations Of Algebras
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Author : Eli Aljadeff
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-12-14
Rings With Polynomial Identities And Finite Dimensional Representations Of Algebras written by Eli Aljadeff 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 2020-12-14 with Education categories.
A polynomial identity for an algebra (or a ring) A A is a polynomial in noncommutative variables that vanishes under any evaluation in A A. An algebra satisfying a nontrivial polynomial identity is called a PI algebra, and this is the main object of study in this book, which can be used by graduate students and researchers alike. The book is divided into four parts. Part 1 contains foundational material on representation theory and noncommutative algebra. In addition to setting the stage for the rest of the book, this part can be used for an introductory course in noncommutative algebra. An expert reader may use Part 1 as reference and start with the main topics in the remaining parts. Part 2 discusses the combinatorial aspects of the theory, the growth theorem, and Shirshov's bases. Here methods of representation theory of the symmetric group play a major role. Part 3 contains the main body of structure theorems for PI algebras, theorems of Kaplansky and Posner, the theory of central polynomials, M. Artin's theorem on Azumaya algebras, and the geometric part on the variety of semisimple representations, including the foundations of the theory of Cayley–Hamilton algebras. Part 4 is devoted first to the proof of the theorem of Razmyslov, Kemer, and Braun on the nilpotency of the nil radical for finitely generated PI algebras over Noetherian rings, then to the theory of Kemer and the Specht problem. Finally, the authors discuss PI exponent and codimension growth. This part uses some nontrivial analytic tools coming from probability theory. The appendix presents the counterexamples of Golod and Shafarevich to the Burnside problem.
Recent Advances In The Representation Theory Of Rings And C Ast Algebras By Continuous Sections
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Author : John R. Liukkonen
language : en
Publisher: American Mathematical Soc.
Release Date : 1974
Recent Advances In The Representation Theory Of Rings And C Ast Algebras By Continuous Sections written by John R. Liukkonen 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 1974 with Mathematics categories.
From March 20 through April 5, 1973, the Mathematics Department of Tulane University organized a seminar on recent progress made in the general theory of the representation of rings and topological algebras by continuous sections in sheaves and bundles. The seminar was divided into two main sections: one concerned with sheaf representation, the other with bundle representation. The first was concerned with ringed spaces, applications to logic, universal algebra and lattice theory. The second was almost exclusively devoted to C*-algebra and Hilbert space bundles or closely related material. This collection represents the majority of the papers presented by seminar participants, with the addition of three papers which were presented by title.
Noncommutative Rings
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Author : I. N. Herstein
language : en
Publisher: Cambridge University Press
Release Date : 2005-09-08
Noncommutative Rings written by I. N. Herstein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-08 with Mathematics categories.
A cross-section of ideas, techniques and results that give the reader an unparalleled introductory overview of the subject.
Representations Of Finite Groups
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Author : Hirosi Nagao
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Representations Of Finite Groups written by Hirosi Nagao and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Representations of Finite Groups provides an account of the fundamentals of ordinary and modular representations. This book discusses the fundamental theory of complex representations of finite groups. Organized into five chapters, this book begins with an overview of the basic facts about rings and modules. This text then provides the theory of algebras, including theories of simple algebras, Frobenius algebras, crossed products, and Schur indices with representation-theoretic versions of them. Other chapters include a survey of the fundamental theory of modular representations, with emphasis on Brauer characters. This book discusses as well the module-theoretic representation theory due to Green and includes some topics such as Burry–Carlson's theorem and Scott modules. The final chapter deals with the fundamental results of Brauer on blocks and Fong's theory of covering, and includes some approaches to them. This book is a valuable resource for readers who are interested in the various approaches to the study of the representations of groups.
Recent Advances In The Representation Theory Of Rings And C Algebras By Continuous Sections
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1974
Recent Advances In The Representation Theory Of Rings And C Algebras By Continuous Sections written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Analytic functions categories.
Recent Advances In The Representation Theory Of Rings And C Algebras By Continuous Sections
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Author : George E. Andrews
language : en
Publisher:
Release Date : 1974
Recent Advances In The Representation Theory Of Rings And C Algebras By Continuous Sections written by George E. Andrews and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Analytic functions categories.
Rings And Categories Of Modules
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Author : Frank W. Anderson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Rings And Categories Of Modules written by Frank W. Anderson 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 2012-12-06 with Mathematics categories.
This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical foundations, the text begins with the basic definitions and properties of rings, modules and homomorphisms and ranges through comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, de composition theory of injective and projective modules, and semi perfect and perfect rings. In this second edition we have included a chapter containing many of the classical results on artinian rings that have hdped to form the foundation for much of the contemporary research on the representation theory of artinian rings and finite dimensional algebras. Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty. There are, of course" many important areas of ring and module theory that the text does not touch upon.
