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Artinian Modules over Group Rings

Overview of attention for book
Cover of 'Artinian Modules over Group Rings'

Table of Contents

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    Book Overview
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    Chapter 1 Modules with chain conditions
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    Chapter 2 Ranks of groups
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    Chapter 3 Some generalized nilpotent groups
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    Chapter 4 Artinian modules and the socle
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    Chapter 5 Reduction to subgroups of finite index
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    Chapter 6 Modules over Dedekind domains
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    Chapter 7 The Kovacs-Newman theorem
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    Chapter 8 Hartley’s classes of modules
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    Chapter 9 The injectivity of some simple modules
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    Chapter 10 Direct decompositions in artinian modules
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    Chapter 11 On the countability of artinian modules over FC -hypercentral groups
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    Chapter 12 Artinian modules over periodic abelian groups
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    Chapter 13 Nearly injective modules
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    Chapter 14 Artinian modules over abelian groups of finite section rank
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    Chapter 15 The injective envelopes of simple modules over group rings
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    Chapter 16 Quasifinite modules
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    Chapter 17 Some applications: splitting over the locally nilpotent residual
Attention for Chapter 9: The injectivity of some simple modules
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