Artinian Modules over Group Rings
Let G be a group and suppose that G has an abelian normal subgroup A. If g H = G/A,then H acts on A by ah = a,where h =gA? H and a? A,andthis actiontransformsAintoa ZH-module(seealldetailsbelow). IfAisperiodic,then very often we may replace A by one of its primary p?components. This allows us to ass...
Salvato in:
| Autori principali: | , , |
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| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2007. |
| Serie: | Frontiers in Mathematics
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| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 259 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Numérisation de l'édition de Basel ; Boston ; Berlin : Birkhäuser, cop. 2007 |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Artinian Modules over Group Rings, Texte imprimé, 9783764391522 • Artinian modules over group rings, Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin, Basel, Birkhäuser, 2007, 1 vol. (VII-247 p.), Frontiers in mathematics, 3-7643-7764-X |
Sommario:
- 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