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Artinian Modules over Group Rings

Paperback Engels 2006 2007e druk 9783764377649
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Samenvatting

This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, and criteria of semisimplicity of artinian modules, it also focuses on recent advanced results on these matters.

Specificaties

ISBN13:9783764377649
Taal:Engels
Bindwijze:paperback
Aantal pagina's:247
Uitgever:Birkhäuser Basel
Druk:2007

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Inhoudsopgave

Modules with chain conditions.- Ranks of groups.- Some generalized nilpotent groups.- Artinian modules and the socle.- Reduction to subgroups of finite index.- Modules over Dedekind domains.- The Kovacs-Newman theorem.- Hartley’s classes of modules.- The injectivity of some simple modules.- Direct decompositions in artinian modules.- On the countability of artinian modules over FC-hypercentral groups.- Artinian modules over periodic abelian groups.- Nearly injective modules.- Artinian modules over abelian groups of finite section rank.- The injective envelopes of simple modules over group rings.- Quasifinite modules.- Some applications: splitting over the locally nilpotent residual.

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€ 66,99
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        Artinian Modules over Group Rings