Rings and Categories of Modules - Brossura

Anderson, F.W.; Fuller, K.R.

Brossura

ISBN 10: 0387900705 ISBN 13: 9780387900704

Casa editrice: Springer, 1974

Riassunto

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 introductory and more advanced graduate courses. We assume the famil­ iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical foundations, the text begins with the basic definitions and properties of rings, modules and homomorphisms and ranges through comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Art in Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, de­ composition theory of injective and projective modules, and semiperfect and perfect rings. Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty. There are, of course, many important areas of ring and module theory that the text does not touch upon. For example, we have made no attempt to cover such subjects as homology, rings of quotients, or commutative ring theory.

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Product Description

Book by Anderson FW Fuller KR

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 1974
• Lingua: Inglese
• ISBN 10: 0387900705
• ISBN 13: 9780387900704
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 348
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania