Prime ideals in nilpotent Iwasawa algebras

Prime ideals in nilpotent Iwasawa algebras

Let G be a nilpotent complete p-valued group of finite rank and let k be a field of characteristic p. We prove that every faithful prime ideal of the Iwasawa algebra kG is controlled by the centre of G, and use this to show that the prime spectrum of kG is a disjoint union of commutative strata. We...

Fuld beskrivelse

Bibliografiske detaljer
Hovedforfatter:	Ardakov, K
Format:	Journal article
Sprog:	English
Udgivet:	2011

Lignende værker

Prime ideals in noncommutative Iwasawa algebras
af: Ardakov, K
Udgivet: (2006)

Localisation at augmentation ideals in Iwasawa algebras
af: Ardakov, K
Udgivet: (2006)

Reflexive Ideals in Iwasawa Algebras
af: Ardakov, K, et al.
Udgivet: (2007)

Γ-invariant ideals in Iwasawa algebras
af: Ardakov, K, et al.
Udgivet: (2009)

Gamma-invariant ideals in Iwasawa algebras
af: Ardakov, K, et al.
Udgivet: (2008)

Primeness, semiprimeness and localisation in Iwasawa algebras
af: Ardakov, K, et al.
Udgivet: (2004)

Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type
af: Ardakov, K, et al.
Udgivet: (2007)

Krull dimension of Iwasawa algebras
af: Ardakov, K
Udgivet: (2004)

Prime ideals of Iwasawa algebras over solvable groups
af: Jones, A
Udgivet: (2020)

Virtually nilpotent mod-𝑝 Iwasawa algebras are catenary
af: Woods, W
Udgivet: (2016)

Verma modules for Iwasawa algebras are faithful
af: Ardakov, K, et al.
Udgivet: (2014)

Ring-theoretic properties of Iwasawa algebras: a survey
af: Ardakov, K, et al.
Udgivet: (2006)

Centres of skewfields and completely faithful Iwasawa modules
af: Ardakov, K
Udgivet: (2007)

Characteristic elements for p-torsion iwasawa modules
af: Ardakov, K, et al.
Udgivet: (2006)

Coherence of augmented Iwasawa algebras
af: Timmins, J
Udgivet: (2023)

K_0 and the dimension filtration for p-torsion Iwasawa modules
af: Ardakov, K, et al.
Udgivet: (2006)

On the ideals of extended quasi-nilpotent Banach algebras
af: Morteza Seddighin
Udgivet: (1991-01-01)

Ring-theoretic properties of augmented Iwasawa algebras
af: Timmins, J
Udgivet: (2023)

The Algebraic Classification of Nilpotent Bicommutative Algebras
af: Kobiljon Abdurasulov, et al.
Udgivet: (2023-02-01)

Prime Ideals of Transitive BE-Algebras
af: Prabhakar M. Bala, et al.
Udgivet: (2022-03-01)

On the nilpotent Leibniz–Poisson algebras
af: Sergey M Ratseev, et al.
Udgivet: (2012-12-01)

On the nilpotent Leibniz–Poisson algebras
af: S. M. Ratseev, et al.
Udgivet: (2012-12-01)

On dimension of Lie Algebras and nilpotent Lie algebras
af: Homayoon Arabyani
Udgivet: (2022-02-01)

On the algebra of derivations of some nilpotent Leibniz algebras
af: L.A. Kurdachenko, et al.
Udgivet: (2023-06-01)

Some results on left T-Nilpotent ideals /
af: 204555 Yan, Angelina Mui Chin, et al.
Udgivet: (1991)

A Note on Iwasawa-Type Decomposition
af: Philip Foth
Udgivet: (2011-01-01)

On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras
af: Arabyani Homayoon, et al.
Udgivet: (2021-05-01)

Four-dimensional nilpotent diassociative algebras
af: Basri, Witriany, et al.
Udgivet: (2015)

SEMIPRIME AND NILPOTENT FUZZY LIE ALGEBRAS
af: Nour Alhouda Alhayek, et al.
Udgivet: (2016-09-01)

Engel, Nilpotent and Solvable BCI-algebras
af: Mohammadzadeh Elahe, et al.
Udgivet: (2019-03-01)

On universal Lie nilpotent associative algebras
af: Etingof, Pavel I., et al.
Udgivet: (2015)

ABELIAN-BY-NILPOTENT VARIETIES OF LIE-ALGEBRAS
af: Vaughanlee, M
Udgivet: (1975)

Alpha Ideals and the Space of Prime Alpha Ideals in Universal Algebras
af: Gezahagne Mulat Addis
Udgivet: (2021-01-01)

L-Fuzzy Prime Ideals in Universal Algebras
af: Berhanu Assaye Alaba, et al.
Udgivet: (2019-01-01)

THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS
af: XIN WAN
Udgivet: (2015-09-01)

Cohomological approach to classify nilpotent Leibniz algebras.
af: Rakhimov , I.S., et al.
Udgivet: (2012)

Central Extensions of Nilpotent Lie and Leibniz Algebras
af: Langari, Mouna Bibi
Udgivet: (2010)

On nilpotent filiform Lie algebras of dimension eight
af: P. Barbari, et al.
Udgivet: (2003-01-01)

On Marginal Automorphisms of Free Nilpotent Lie Algebras
af: Özge Öztekin
Udgivet: (2020-01-01)

CC-circuits and the expressive power of nilpotent algebras
af: Michael Kompatscher
Udgivet: (2022-05-01)