Rings and Categories of Modules
Frank W. Anderson, Kent R. Fuller
This book is intended to provide a self-contained account of much of the theory of rings and modules. The theme of the text throughout is the relationship between the one-sided ideal structure a ring may possess and the behavior of its categories of modules. Following a brief outline of the foundations, the book begins with the basic definitions and properties of rings, modules and homomorphisms. The remainder of the text gives comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, decomposition theory, and semiperfect and perfect rings. This second edition includes a chapter containing many of the classical results on Artinian rings that have helped form the foundation for much of contemporary research on the representation theory of Artinian rings and finite-dimensional algebras.
Категории:
Година:
1992
Издание:
2nd
Издателство:
Springer
Език:
english
Страници:
385
ISBN 10:
3540978453
ISBN 13:
9783540978459
Серия:
Graduate Texts in Mathematics 13
Файл:
DJVU, 4.88 MB
IPFS:
,
english, 1992
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