Artinian Modules over Group Rings

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

DRM-restrictions

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Avainsanat: MATHEMATICS / General MAT000000