Lifting modules : supplements and projectivity in module theory
著者
書誌事項
Lifting modules : supplements and projectivity in module theory
(Frontiers in mathematics)
Birkhäuser Verlag, 2006
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注記
Includes bibliographical references (p. [363]-385) and index
内容説明・目次
内容説明
Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. This duality exhibits a certain asymmetry. While the theory of extending modules is well documented in monographs and text books, the purpose of this monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules.
目次
Basic notions.- Preradicals and torsion theories.- Decompositions of modules.- Supplements in modules.- From lifting to perfect modules.
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