| 书目名称 | Lifting Modules | | 副标题 | Supplements and Proj | | 编辑 | John Clark,Christian Lomp,Robert Wisbauer | | 视频video | | | 概述 | First comprehensive monograph devoted to results around lifting modules.Basic notions and techniques from module theory are reviewed, in particular various observations around (weakly) supplemented an | | 丛书名称 | Frontiers in Mathematics | | 图书封面 |  | | 描述 | .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 | | 出版日期 | Book 2006 | | 关键词 | Morphism; algebra; lifting module; module theory; torsion | | 版次 | 1 | | doi | https://doi.org/10.1007/3-7643-7573-6 | | isbn_softcover | 978-3-7643-7572-0 | | isbn_ebook | 978-3-7643-7573-7Series ISSN 1660-8046 Series E-ISSN 1660-8054 | | issn_series | 1660-8046 | | copyright | Birkhäuser Basel 2006 |
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发表于 2025-3-21 17:26:09
