Foundations of Module and Ring Theory

Foundations of Module and Ring Theory
Author: Robert Wisbauer
Publisher: Routledge
Total Pages: 622
Release: 2018-05-11
Genre: Mathematics
ISBN: 1351447343

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This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.


Foundations of Module and Ring Theory
Language: en
Pages: 622
Authors: Robert Wisbauer
Categories: Mathematics
Type: BOOK - Published: 2018-05-11 - Publisher: Routledge

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This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent wo
Foundations of Module and Ring Theory
Language: en
Pages: 606
Authors: Robert Wisbauer
Categories: Mathematics
Type: BOOK - Published: 2018-05-11 - Publisher: Routledge

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This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent wo
Modules and Rings
Language: en
Pages: 470
Authors: John Dauns
Categories: Mathematics
Type: BOOK - Published: 1994-10-28 - Publisher: Cambridge University Press

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This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses
Foundations of Commutative Rings and Their Modules
Language: en
Pages: 714
Authors: Fanggui Wang
Categories: Mathematics
Type: BOOK - Published: 2017-01-06 - Publisher: Springer

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This book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that
Rings and Categories of Modules
Language: en
Pages: 386
Authors: Frank W. Anderson
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introd