Rings With Generalized Identities


Rings With Generalized Identities
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Rings With Generalized Identities


Rings With Generalized Identities
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Author : Konstant I. Beidar
language : en
Publisher: CRC Press
Release Date : 1995-11-17

Rings With Generalized Identities written by Konstant I. Beidar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-17 with Mathematics categories.


"Discusses the latest results concerning the area of noncommutative ring theory known as the theory of generalized identities (GIs)--detailing Kharchenko's results on GIs in prime rings, Chuang's extension to antiautomorphisms, and the use of the Beidar-Mikhalev theory of orthogonal completion in the semiprime case. Provides novel proofs of existing results."



Polynomial Identities In Ring Theory


Polynomial Identities In Ring Theory
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Author :
language : en
Publisher: Academic Press
Release Date : 1980-07-24

Polynomial Identities In 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 1980-07-24 with Mathematics categories.


Polynomial Identities in Ring Theory



Canadian Journal Of Mathematics


Canadian Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1975-06

Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-06 with categories.




Polynomial Identities In Algebras


Polynomial Identities In Algebras
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Author : Onofrio Mario Di Vincenzo
language : en
Publisher: Springer Nature
Release Date : 2021-03-22

Polynomial Identities In Algebras written by Onofrio Mario Di Vincenzo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-22 with Mathematics categories.


This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.



Rings And Nearrings


Rings And Nearrings
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Author : Mikhail Chebotar
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22

Rings And Nearrings written by Mikhail Chebotar and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.


This volume consists of seven papers related in various matters to the research work of Kostia Beidar†, a distinguished ring theorist and professor of National Ching Kung University (NCKU). Written by leading experts in these areas, the papers also emphasize important applications to other fields of mathematics. Most papers are based on talks that were presented at the memorial conference which was held in March 2005 at NCKU.



Advances In Ring Theory And Applications


Advances In Ring Theory And Applications
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Author : Shakir Ali
language : en
Publisher: Springer Nature
Release Date :

Advances In Ring Theory And Applications written by Shakir Ali and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Differential Geometry Algebra And Analysis


Differential Geometry Algebra And Analysis
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Author : Mohammad Hasan Shahid
language : en
Publisher: Springer Nature
Release Date : 2020-09-04

Differential Geometry Algebra And Analysis written by Mohammad Hasan Shahid and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-04 with Mathematics categories.


This book is a collection of selected research papers, some of which were presented at the International Conference on Differential Geometry, Algebra and Analysis (ICDGAA 2016), held at the Department of Mathematics, Jamia Millia Islamia, New Delhi, from 15–17 November 2016. It covers a wide range of topics—geometry of submanifolds, geometry of statistical submanifolds, ring theory, module theory, optimization theory, and approximation theory—which exhibit new ideas and methodologies for current research in differential geometry, algebra and analysis. Providing new results with rigorous proofs, this book is, therefore, of much interest to readers who wish to learn new techniques in these areas of mathematics.



Automorphisms And Derivations Of Associative Rings


Automorphisms And Derivations Of Associative Rings
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Author : V. Kharchenko
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-10-31

Automorphisms And Derivations Of Associative Rings written by V. Kharchenko 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 1991-10-31 with Mathematics categories.


The theory of automorphisms and derivations of associative rings is a direct descendant of the development of classical Galois theory and the theory of invariants. This volume presents a comprehensive overview of the methods and results of that theory, which has been greatly enriched during the last twenty years. Some of the material included appears for the first time. Among the problems discussed in this book are the following: construction of a Galois theory for prime and semiprime rings and its application to domains and free algebras; investigation of the problems of the algebraic dependence of automorphisms and derivations; studies of the fixed rings for finite groups and rings of constants for differential Lie algebras acting on the rings; non-commutative invariants of linear groups; theorems of finite groups acting on modular lattices; actions of Hopf algebras. The monograph is meant for specialists in algebra, but it can also be useful for a wider range of mathematicians. The inclusions in the book of the latest achievements on the structural theory of rings with generalized identities makes it desirable reading for graduate



Algebra And Related Topics With Applications


Algebra And Related Topics With Applications
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Author : Mohammad Ashraf
language : en
Publisher: Springer Nature
Release Date : 2022-11-30

Algebra And Related Topics With Applications written by Mohammad Ashraf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-30 with Mathematics categories.


This proceedings is a collection of research papers on algebra and related topics, most of which were presented at the International Conference on Algebra and Related Topics with Applications (ICARTA-19), held at the Department of Mathematics, Aligarh Muslim University, Aligarh, India, from 17–19 December 2019. It covers a wide range of topics on ring theory, coding theory, cryptography, and graph theory. In addition to highlighting the latest research being done in algebra, the book also addresses the abundant topics of algebra particularly semigroups, groups, derivations in rings, rings and modules, group rings, matrix algebra, triangular algebra, polynomial rings and lattice theory. Apart from these topics, the book also discusses applications in cryptology, coding theory, and graph theory.



Polynomial Identities And Asymptotic Methods


Polynomial Identities And Asymptotic Methods
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Author : A. Giambruno
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Polynomial Identities And Asymptotic Methods written by A. Giambruno 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 2005 with PI-algebras categories.


This book gives a state of the art approach to the study of polynomial identities satisfied by a given algebra by combining methods of ring theory, combinatorics, and representation theory of groups with analysis. The idea of applying analytical methods to the theory of polynomial identities appeared in the early 1970s and this approach has become one of the most powerful tools of the theory. A PI-algebra is any algebra satisfying at least one nontrivial polynomial identity. This includes the polynomial rings in one or several variables, the Grassmann algebra, finite-dimensional algebras, and many other algebras occurring naturally in mathematics. The core of the book is the proof that the sequence of co-dimensions of any PI-algebra has integral exponential growth - the PI-exponent of the algebra. Later chapters further apply these results to subjects such as a characterization of varieties of algebras having polynomial growth and a classification of varieties that are minimal for a given exponent.