The material presented in this book ranges from a torsion theoretical treatment of standard topics in ring and module theory to how untreated properties of rings and modules might be dealt with in this setting. Simple modules, maximal submodules, the Jacobson radical and modules with chain conditions are investigated relative to a torsion theory. A relative form of Nakayama's lemma is given and a generalized Hopkins-Levitzki theorem is established. Injective and projective concepts are studied and a generalized Bear's ...
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The material presented in this book ranges from a torsion theoretical treatment of standard topics in ring and module theory to how untreated properties of rings and modules might be dealt with in this setting. Simple modules, maximal submodules, the Jacobson radical and modules with chain conditions are investigated relative to a torsion theory. A relative form of Nakayama's lemma is given and a generalized Hopkins-Levitzki theorem is established. Injective and projective concepts are studied and a generalized Bear's condition for injective modules and a generalized Fuchs condition for quasi-injective modules are shown to hold.
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Add this copy of Topics in Torsion Theory to cart. $129.58, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1998 by Wiley-VCH.
