Theory Of Clean Rings And Matrices
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Theory Of Clean Rings And Matrices
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Author : Huanyin Chen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2022-09-08
Theory Of Clean Rings And Matrices written by Huanyin Chen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-08 with Mathematics categories.
This is the first monograph devoted to clean ring and matrix theory. It aims to study a theory of expressing an element in a ring as the sum of some special ones, such as idempotents, units, nilpotents, tripotents, involutions, etc. A matrix over such rings is thereby expressed as the sum of some special matrices. Also another topics on the behaviors of topological properties and *-properties of such rings are investigated.The book is based on the results of various published papers, particularly, by the authors'. It is accessible for students familiar with general abstract algebra, while the topics are interesting for researchers in the field of ring, matrix and operator theory.
Theory Of Clean Rings And Matrices
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Author : Huanyin Chen
language : en
Publisher: World Scientific
Release Date : 2022-08-30
Theory Of Clean Rings And Matrices written by Huanyin Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-30 with Mathematics categories.
This is the first monograph devoted to clean ring and matrix theory. It aims to study a theory of expressing an element in a ring as the sum of some special ones, such as idempotents, units, nilpotents, tripotents, involutions, etc. A matrix over such rings is thereby expressed as the sum of some special matrices. Also another topics on the behaviors of topological properties and *-properties of such rings are investigated.The book is based on the results of various published papers, particularly, by the authors'. It is accessible for students familiar with general abstract algebra, while the topics are interesting for researchers in the field of ring, matrix and operator theory.
Formal Matrices
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Author : Piotr Krylov
language : en
Publisher: Springer
Release Date : 2017-03-30
Formal Matrices written by Piotr Krylov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-30 with Mathematics categories.
This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings. Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.
Rings Related To Stable Range Conditions
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Author : Huanyin Chen
language : en
Publisher: World Scientific
Release Date : 2011
Rings Related To Stable Range Conditions written by Huanyin Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories.
Advances In Ring Theory
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Author : Sergio R. López-Permouth
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-28
Advances In Ring Theory written by Sergio R. López-Permouth 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 2011-01-28 with Mathematics categories.
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.
Methods In Ring Theory
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Author : Vesselin Drensky
language : en
Publisher: CRC Press
Release Date : 2021-02-28
Methods In Ring Theory written by Vesselin Drensky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-28 with Mathematics categories.
"Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."
Matrices Over Commutative Rings
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Author : William Brown
language : en
Publisher: CRC Press
Release Date : 1992-11-23
Matrices Over Commutative Rings written by William Brown and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-23 with Mathematics categories.
Aims to cover the most important aspects of the theory of matrices whose entries come from a given commutative ring. Essential facts about commutative rings are developed throughout the book, and proofs that follow from concrete matrix calculations are also provided.
Methods In Ring Theory
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Author : Vesselin Drensky
language : en
Publisher: CRC Press
Release Date : 1998-03-27
Methods In Ring Theory written by Vesselin Drensky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-27 with Mathematics categories.
"Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."
The Theory Of Rings
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Author : Nathan Jacobson
language : en
Publisher: American Mathematical Soc.
Release Date : 1943-12-31
The Theory Of Rings written by Nathan Jacobson 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 1943-12-31 with Mathematics categories.
The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.
Ring Theory
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Author :
language : en
Publisher: Academic Press
Release Date : 1988-06-01
Ring Theory written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-06-01 with Mathematics categories.
Ring Theory V1