Lifting Modules pdf epub mobi txt 电子书 下载 2024


Lifting Modules

简体网页||繁体网页
Vanaja, Narayanaswami
Springer Verlag
394
$ 79.04
Pap
9783764375720

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发表于2024-11-09

Lifting Modules epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Lifting Modules epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Lifting Modules pdf epub mobi txt 电子书 下载 2024



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Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the purpose of our monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules. The text begins with an introduction to small submodules, the radical, variations on projectivity, and hollow dimension. The subsequent chapters consider preradicals and torsion theories (in particular related to small modules), decompositions of modules (including the exchange property and local semi-T-nilpotency), supplements in modules (with specific emphasis on semilocal endomorphism rings), finishing with a long chapter on lifting modules, leading up their use in the theory of perfect rings, Harada rings, andquasi-Frobenius rings. Most of the material in the monograph appears in book form for the first time. The main text is augmented by a plentiful supply of exercises together with comments on further related material and on how the theory has evolved.

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