Foundations of module and ring theory : a handbook for study and research

Robert Wisbauer

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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書名 Foundations of module and ring theory : a handbook for study and research
著作者等 Wisbauer, Robert
書名別名 Grundlagen der Modul- und Ringtheorie
シリーズ名 Algebra, logic and applications series
出版元 Gordon and Breach Science Publishers
刊行年月 c1991
版表示 Rev. and updated English ed.
ページ数 xi, 606 p.
大きさ 24 cm
ISBN 2881248055
NCID BA14394338
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言語 英語
原文言語 ドイツ語
出版国 アメリカ合衆国