Lifting Modules Book Reviews

AUTHOR
John Clark, Christian Lomp, N. Vanaja & Robert Wisbauer
SCORE
0
TOTAL RATINGS
194

Lifting Modules by John Clark, Christian Lomp, N. Vanaja & Robert Wisbauer Book Summary

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, and
quasi-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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Book Name Lifting Modules
Genre Mathematics
Published
Language English
E-Book Size 3.82 MB

Lifting Modules (John Clark, Christian Lomp, N. Vanaja & Robert Wisbauer) Book Reviews 2024

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Summary of Lifting Modules by John Clark, Christian Lomp, N. Vanaja & Robert Wisbauer

The Lifting Modules book written by John Clark, Christian Lomp, N. Vanaja & Robert Wisbauer was published on 17 August 2008, Sunday in the Mathematics category. A total of 194 readers of the book gave the book 0 points out of 5.

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