Lifting modules : supplements and projectivity in module theory

著者

    • Clark, John, 1943 Oct. 4-

書誌事項

Lifting modules : supplements and projectivity in module theory

John Clark ... [et al.]

(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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