Rings and Categories of Modules /
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 foundati...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1992.
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| Edition: | Second edition. |
| Series: | Graduate texts in mathematics ;
13. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 392 pages) |
| ISBN: | 9781461244189 (electronic bk.) 1461244188 (electronic bk.) |