Prime ideals in nilpotent Iwasawa algebras.

DOI10.1007/s00222-012-0385-4zbMath1263.16026arXiv1108.0371OpenAlexW3103879023MaRDI QIDQ1930888

Konstantin Ardakov

Publication date: 14 January 2013

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0371

zbMATH Keywords

completely prime idealsprime spectraIwasawa algebrascompact \(p\)-adic analytic groupscompleted group ringscomplete \(p\)-valued groupsnon-commutative valuations

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Iwasawa theory (11R23) Ideals in associative algebras (16D25) Limits, profinite groups (20E18)

Related Items (9)

Primitive ideals in rational, nilpotent Iwasawa algebras ⋮ Ore localization and minimal injective resolutions. ⋮ On the faithfulness of certain representations of \(\mathrm{GL}_2(\mathbb F)\) under an Iwasawa algebra ⋮ A control theorem for primitive ideals in Iwasawa algebras ⋮ On the structure of virtually nilpotent compact \(p\)-adic analytic groups ⋮ On the catenarity of virtually nilpotent mod-\(p\) Iwasawa algebras ⋮ Extensions of almost faithful prime ideals in virtually nilpotent mod-\(p\) Iwasawa algebras ⋮ Maximal prime homomorphic images of mod-p Iwasawa algebras ⋮ Completed group algebras of abelian-by-procyclic groups

Cites Work

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• Non-existence of reflexive ideals in Iwasawa algebras of Chevalley type.
• \(\Gamma\)-invariant ideals in Iwasawa algebras.
• Anneaux de Krull non commutatifs
• Zariskian filtrations
• Lifting Ore sets of Noetherian filtered rings and applications
• Ring-theoretic properties of Iwasawa algebras: a survey.
• \(p\)-adic analytic groups
• Localization in non-commutative Noetherian rings
• The controller subgroup of one-sided ideals in completed group rings
• p-Adic Lie Groups
• Prime Ideals in Group Rings of Polycyclic Groups
• MODULES OVER IWASAWA ALGEBRAS
• LOCALISATION AT AUGMENTATION IDEALS IN IWASAWA ALGEBRAS
• Completions of Non-Commutative Dedekind Prime Rings

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