Artinian Modules over Group Rings

• Κύριοι συγγραφείς: Kurdachenko, Leonid A. (Συγγραφέας), Otal, Javier (Συγγραφέας), Subbotin, Igor Ya (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2007.
• Σειρά: Frontiers in Mathematics,
• Θέματα: Mathematics.; Algebra.

 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.