Primeness, semiprimeness and localisation in Iwasawa algebras

dc.creatorArdakov, Konstantin
dc.creatorBrown, Kenneth A.
dc.date2004-12-20
dc.date.accessioned2026-07-07T05:15:29Z
dc.date.available2026-07-07T05:15:29Z
dc.descriptionNecessary and sufficient conditions are given for the completed group algebras of a compact p-adic analytic group with coefficient ring the p-adic integers or the field of p elements to be prime, semiprime and a domain. Necessary and sufficient conditions for the localisation at semiprime ideals related to the augmentation ideals of closed normal subgroups are found. Some information is obtained about the Krull and global dimensions of the localisations. The results extend and complete work of A. Neumann and J. Coates et al.
dc.identifierhttps://arxiv.org/abs/math/0412401
dc.identifierhttp://arxiv.org/abs/math/0412401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73645
dc.subjectRings and Algebras
dc.subjectNumber Theory
dc.subject16P50;16L30;20E18;11R23
dc.titlePrimeness, semiprimeness and localisation in Iwasawa algebras
dc.typetext

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