Rings, Groups, and Algebras

Rings, Groups, and Algebras PDF Author: X. H. Cao
Publisher: CRC Press
ISBN: 1000153347
Category : Mathematics
Languages : en
Pages : 352

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Book Description
"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."

The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings PDF Author: Donald S. Passman
Publisher: Courier Corporation
ISBN: 0486482065
Category : Mathematics
Languages : en
Pages : 754

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Book Description
"'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--

Groups, Rings and Group Rings

Groups, Rings and Group Rings PDF Author: A. Giambruno
Publisher: American Mathematical Soc.
ISBN: 0821847716
Category : Mathematics
Languages : en
Pages : 283

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Book Description
Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

Rings, Groups, and Algebras

Rings, Groups, and Algebras PDF Author: X. H. Cao
Publisher: CRC Press
ISBN: 1000153347
Category : Mathematics
Languages : en
Pages : 352

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Book Description
"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."

Rings, Fields and Groups

Rings, Fields and Groups PDF Author: R. B. J. T. Allenby
Publisher: Butterworth-Heinemann
ISBN: 9780340544402
Category : Mathematics
Languages : en
Pages : 383

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Book Description
Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses

Algebra in Action: A Course in Groups, Rings, and Fields

Algebra in Action: A Course in Groups, Rings, and Fields PDF Author: Shahriar Shahriar
Publisher: American Mathematical Soc.
ISBN: 1470428490
Category : Mathematics
Languages : en
Pages : 698

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Book Description
This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.

Groups, Rings, Modules

Groups, Rings, Modules PDF Author: Maurice Auslander
Publisher: Courier Corporation
ISBN: 048679542X
Category : Mathematics
Languages : en
Pages : 484

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Book Description
Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem, algebraic field extension, Dedekind domains, and much more. 1974 edition.

Rings, Modules, Algebras, and Abelian Groups

Rings, Modules, Algebras, and Abelian Groups PDF Author: Alberto Facchini
Publisher: CRC Press
ISBN: 9781138401839
Category :
Languages : en
Pages :

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Book Description
Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological algebraic structures, and provides more than 600 current references and 570 display equations for further exploration of the topic. It provides stimulating discussions from world-renowned names including Laszlo Fuchs, Robert Gilmer, Saharon Shelah, Daniel Simson, and Richard Swan to celebrate 40 years of study on cumulative rings. Describing emerging theories

A Guide to Groups, Rings, and Fields

A Guide to Groups, Rings, and Fields PDF Author: Fernando Q. Gouvêa
Publisher: MAA
ISBN: 0883853558
Category : Mathematics
Languages : en
Pages : 329

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Book Description
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.

Undergraduate Algebra

Undergraduate Algebra PDF Author: Matej Brešar
Publisher: Springer
ISBN: 9783030140526
Category : Mathematics
Languages : en
Pages : 316

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Book Description
This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal ideal domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.

Rings, Modules, Algebras, and Abelian Groups

Rings, Modules, Algebras, and Abelian Groups PDF Author: Alberto Facchini
Publisher: CRC Press
ISBN: 9780824750817
Category : Mathematics
Languages : en
Pages : 530

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Book Description
Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological