Foundations of Module and Ring Theory: A Handbook for Study and Research

Foundations of Module and Ring Theory: A Handbook for Study and Research book cover

Foundations of Module and Ring Theory: A Handbook for Study and Research

Author(s): Robert Wisbauer (Author)

  • Publisher: CRC Press
  • Publication Date: 5 Sept. 1991
  • Edition: 1st
  • Language: English
  • Print length: 618 pages
  • ISBN-10: 2881248055
  • ISBN-13: 9782881248054

Book Description

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.

Editorial Reviews

From the Back Cover

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

About the Author

Wisbauer, Robert

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