\(\Gamma\)-invariant ideals in Iwasawa algebras.

DOI10.1016/j.jpaa.2009.02.001zbMath1171.16014arXiv0808.2311OpenAlexW1507929114MaRDI QIDQ1020966

Simon J. Wadsley, Konstantin Ardakov

Publication date: 4 June 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2311

zbMATH Keywords

dimensionsmaximal orderslocalisationsIwasawa algebras\(\Gamma\)-invariant idealscompact \(p\)-adic analytic groupscompleted group rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Iwasawa theory (11R23) Noncommutative local and semilocal rings, perfect rings (16L30) Ideals in associative algebras (16D25) Limits, profinite groups (20E18) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Related Items (2)

Prime ideals in nilpotent Iwasawa algebras. ⋮ On the faithfulness of certain representations of \(\mathrm{GL}_2(\mathbb F)\) under an Iwasawa algebra

Cites Work

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• Non-existence of reflexive ideals in Iwasawa algebras of Chevalley type.
• Zariskian filtrations
• Ring-theoretic properties of Iwasawa algebras: a survey.
• Reflexive ideals in Iwasawa algebras.
• On the ubiquity of Gorenstein rings
• A BERNSTEIN-TYPE INEQUALITY FOR LOCALIZATIONS OF IWASAWA ALGEBRAS OF HEISENBERG PRO-p GROUPS
• A Rigidity Property for the Set of all Characters Induced by Valuations
• Prime Ideals in Group Rings of Polycyclic Groups
• A New Algebraic Approach to Microlocalization of Filtered Rings
• Dimension of a minimal nilpotent orbit
• A non-commutative Weierstrass preparation theorem and applications to Iwasawa theory
• Simple Lie algebras over fields of positive characteristic. I: Structure theory

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