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Ebook: Lifting Modules: Supplements and Projectivity in Module Theory -- download full version of the book
*** LIFTING MODULES: SUPPLEMENTS AND PROJECTIVITY IN MODULE THEORY *** by Christian Lomp, John Clark, N. Vanaja, Robert Wisbauer  Click Here to Download this Ebook Type: eBook Released: 2006-00-00 Publisher: Page Count: 405 Format: djvu Language: English Description: 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. MORE EBOOKS: Ebook: Logic for Concurrency and Synchronisation (Trends in Logic) -- download full version of the book by R.J. De Queiroz Ebook: Introduction to Solid State Physics -- download full version of the book, by Charles Kittel Ebook: True Hallucinations -- download full version of the book by Terence Mckenna Ebook: Mathematics of Quantum Computation and Quantum Technology -- download full version of the book, by Louis Kauffman, Samuel J. Lomonaco MORE 110000 online books: eBooks, Audio Books - books on English, French, German, Italian, Spanish, ...other languages == eBooks ==
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