Foundations of Module and Ring Theory

Robert Wisbauer

ISBN 10: 2881248055 / ISBN 13: 9782881248054

Published by Gordon and Breach Science Publishers SA, NL, 1991

About this Item

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.

Seller Inventory # LU-9782881248054

Bibliographic Details

• Title: Foundations of Module and Ring Theory
• Publisher: Gordon and Breach Science Publishers SA, NL
• Publication Date: 1991
• Language: English
• ISBN 10: 2881248055
• ISBN 13: 9782881248054
• Binding: Hardback
• Condition: New
• Weight: 1300 grams

About this title

Synopsis

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.

About the Author

Wisbauer, Robert