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Artinian Modules over Group Rings

Main Authors: Kurdachenko, Leonid. (Author, http://id.loc.gov/vocabulary/relators/aut), Otal, Javier. (http://id.loc.gov/vocabulary/relators/aut), Subbotin, Igor Ya. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edition:1st ed. 2007.
Series:Frontiers in Mathematics,
Subjects:
Algebra.
Online Access:https://doi.org/10.1007/978-3-7643-7765-6
Table of Contents:
  • 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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