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Differential Identities In Rings And Algebras And Their Applications

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Differential Identities In Rings And Algebras And Their Applications

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Author : Shakir Ali
language : en
Publisher: CRC Press
Release Date : 2025

Differential Identities In Rings And Algebras And Their Applications written by Shakir Ali and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Mathematics categories.

This monograph summarizes the findings and approaches that have significantly advanced the field in recent decades. In order to make this monograph as self-contained as possible, the first chapter provides a brief introduction to the topic.

Differential Identities In Rings And Algebras And Their Applications

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Author : Shakir Ali
language : en
Publisher: CRC Press
Release Date : 2025-05-26

The theory of differential identities in associative rings and algebras is the basis of this monograph. Informally, an identical relation involving arbitrary elements in the underlying rings (or algebras) along with the unknown differential function is called a differential identity in a ring (or algebra). Invariant theory, non-commutative geometry, mathematical physics, and the theory of rings and algebras are just a few of the fields where this abstract theory has proved to be an effective instrument for solving a wide range of challenging issues, and as the twenty-first century has arrived, the theory of differential identities has found enormous applications in resolving a number of unresolved problems in the theory of rings. This volume summarizes the findings and approaches that have significantly advanced the field during the previous three decades. The first chapter provides a brief introduction to the topic. The following three chapters cover the various kinds of derivations in rings and algebras as well as the interactions between the structure of some classes of rings with involution and the behavior of the underlying derivations, generalized derivations, skew derivations, and b-generalized derivations, as well as their corresponding properties. Chapter 5 explores the characterization of several kinds of higher derivable mappings and the structure of Lie and Jordan-type higher derivations. Although the book contains numerous applications of the conclusions presented in these chapters, the last chapter mostly focuses on the application of derivations. This research monograph is useful for researchers working in the area of differential identities in rings and algebras. It provides a comprehensive and authoritative account of research findings.

Differential Identities In Rings And Algebras And Their Applications

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Author : Shakir Ali
language : en
Publisher: CRC Press
Release Date : 2025-05-26

Abelian Groups Rings Modules And Homological Algebra

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Author : Pat Goeters
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Abelian Groups Rings Modules And Homological Algebra written by Pat Goeters and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.

About the book In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the par

Advances In Ring Theory And Applications

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Author : Shakir Ali
language : en
Publisher: Springer Nature
Release Date : 2024-04-28

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 2024-04-28 with Mathematics categories.

The book intends to be a collection of research papers on algebra and related topics, most of which were presented at the international "Workshop on Associative Rings and Algebras with additional structures (WARA22)". The purpose of the workshop WARA22 was to present the current state of the art both in the Theory of Lie structures of associative rings and algebras and in the Theory of functional identities in rings. The conference has emerged as a powerful forum offering researchers the opportunity to meet, get to know each other and discuss advances in ring theory, inspiring further research directions. The main topics covered refer to rings with involution, Lie and Jordan structures, rings and algebras arising under various constructions, modules, bimodules and ideals in associative algebras, behavior of derivations, automorphisms and other kinds of additive maps in rings and algebras. All the contributing authors are leading international academicians and researchers in their respective fields. The papers cover a wide range of topics in ring theory, group theory, matrix algebra and graph theory. The book will serve both the specialist looking for the latest results and the novice looking for the appropriate references to access the study and understanding of the results presented here.

Stochastic Processes And Functional Analysis

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Author : Alan C. Krinik
language : en
Publisher: CRC Press
Release Date : 2004-03-23

Stochastic Processes And Functional Analysis written by Alan C. Krinik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-23 with Mathematics categories.

This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochas

Simple Extensions With The Minimum Degree Relations Of Integral Domains

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Author : Susumu Oda
language : en
Publisher: CRC Press
Release Date : 2007-03-05

Simple Extensions With The Minimum Degree Relations Of Integral Domains written by Susumu Oda and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-05 with Mathematics categories.

Although there are many types of ring extensions, simple extensions have yet to be thoroughly explored in one book. Covering an understudied aspect of commutative algebra, Simple Extensions with the Minimum Degree Relations of Integral Domains presents a comprehensive treatment of various simple extensions and their properties. In particular, it ex

Groups Rings And Group Rings

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Author : Antonio Giambruno
language : en
Publisher: CRC Press
Release Date : 2006-01-20

Groups Rings And Group Rings written by Antonio Giambruno and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Mathematics categories.

This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f

Algebras Rings And Their Representations

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Author : Alberto Facchini
language : en
Publisher: World Scientific
Release Date : 2006

Algebras Rings And Their Representations written by Alberto Facchini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories. The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith. Sample Chapter(s). Chapter 1: Some Coreflective Categories of Topological Modules (221 KB). Contents: Krull Monoids and Their Application in Module Theory (A Facchini); Infinite Progenerator Sums (A Facchini & L S Levy); Quadratic Algebras of Skew Type (E Jespers & J Okn nski); Representation Type of Commutative Noetherian Rings (Introduction) (L Klingler & L S Levy); Corner Ring Theory: A Generalization of Peirce Decompositions (T-Y Lam); Quasideterminants and Right Roots of Polynomials Over Division Rings (B L Osofsky); Injective Dimension Relative to a Torsion Theory (P F Smith); and other papers. Readership: Algebraists, mathematicians interested in the connections between algebra and other fields, and graduate students interested in algebra."

Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative

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Author : Gennadii V. Demidenko
language : en
Publisher: CRC Press
Release Date : 2003-04-25

Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative written by Gennadii V. Demidenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-25 with Mathematics categories.

Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this reference is the first to introduce a classification of equations and systems not solvable with respect to the highest order derivative, and it studies boundary value problems for these classes of equations. Presenting 2200 equations, t

Differential Identities In Rings And Algebras And Their Applications

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