An Introduction to Rings and Modules

An Introduction to Rings and Modules
Author: A. J. Berrick
Publisher: Cambridge University Press
Total Pages: 286
Release: 2000-05
Genre: Mathematics
ISBN: 9780521632744

This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.

Ring and Module Theory

Ring and Module Theory
Author: Toma Albu
Publisher: Springer Science & Business Media
Total Pages: 204
Release: 2011-02-04
Genre: Mathematics
ISBN: 3034600070

This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.

Rings and Their Modules

Rings and Their Modules
Author: Paul E. Bland
Publisher: Walter de Gruyter
Total Pages: 467
Release: 2011
Genre: Mathematics
ISBN: 3110250225

This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. In addition to the presentation of standard topics in ring and module theory, it also covers category theory, homological algebra and even more specialized topics like injective envelopes and proj

Introduction to Ring Theory

Introduction to Ring Theory
Author: Paul M. Cohn
Publisher: Springer Science & Business Media
Total Pages: 234
Release: 2012-12-06
Genre: Mathematics
ISBN: 1447104757

A clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, Tensor product and rings of fractions, followed by a description of free rings. Readers are assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.

Exercises in Modules and Rings

Exercises in Modules and Rings
Author: T.Y. Lam
Publisher: Springer Science & Business Media
Total Pages: 427
Release: 2009-12-08
Genre: Mathematics
ISBN: 0387488995

This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.

Lessons on Rings, Modules and Multiplicities

Lessons on Rings, Modules and Multiplicities
Author: D. G. Northcott
Publisher:
Total Pages: 472
Release: 2008-12-11
Genre: Mathematics
ISBN:

This volume provides a clear and self-contained introduction to important results in the theory of rings and modules. Assuming only the mathematical background provided by a normal undergraduate curriculum, the theory is derived by comparatively direct and simple methods. It will be useful to both undergraduates and research students specialising in algebra. In his usual lucid style the author introduces the reader to advanced topics in a manner which makes them both interesting and easy to assimilate. As the text gives very full explanations, a number of well-ordered exercises are included at the end of each chapter. These lead on to further significant results and give the reader an opportunity to devise his own arguments and to test his understanding of the subject.

Lectures on Modules and Rings

Lectures on Modules and Rings
Author: Tsit-Yuen Lam
Publisher: Springer Science & Business Media
Total Pages: 577
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461205255

This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. User-friendly with its abundance of examples illustrating the theory at virtually every step, the volume contains a large number of carefully chosen exercises to provide newcomers with practice, while offering a rich additional source of information to experts. A direct approach is used in order to present the material in an efficient and economic way, thereby introducing readers to a considerable amount of interesting ring theory without being dragged through endless preparatory material.

Introductory Lectures on Rings and Modules

Introductory Lectures on Rings and Modules
Author: John A. Beachy
Publisher: Cambridge University Press
Total Pages: 252
Release: 1999-04-22
Genre: Mathematics
ISBN: 9780521644075

A first-year graduate text or reference for advanced undergraduates on noncommutative aspects of rings and modules.