Provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as more recent work. The text starts from a basic understanding of linear algebra, the theory is presented, accompanied by proofs. Num Pages: 606 pages. BIC Classification: PBCD; PBF; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156. Weight in Grams: 1018. . 1991. 1st Edition. hardcover. . . . .

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Bibliographic Details

Title: Foundations of Module and Ring Theory: A Handbook for Study and Research (Algebra, Logic and Applications)
Publisher: Routledge
Publication Date: 1991
Language: English
ISBN 10: 2881248055
ISBN 13: 9782881248054
Binding: Hardcover
Edition: 1st Edition
Condition: New

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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.

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Wisbauer, Robert

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