Exercises in modules and rings
著者
書誌事項
Exercises in modules and rings
(Problem books in mathematics / edited by K. Bencsáth and P.R. Halmos)
Springer, c2007
- : pbk
注記
Includes indexes
内容説明・目次
内容説明
This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.
目次
Free Modules.- Projective and Injective Modules.- Flat Modules and Homological Dimensions.- More Theory of Modules.- Rings of Quotients.- More Rings of Quotients.- Frobenius and Quasi-Frobenius Rings.- Matrix Rings, Categories of Modules, and Morita Theory.
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