Normality in group rings

V. A. Bovdi; S. Siciliano

doi:10.1090/S1061-0022-08-00991-6

Normality in group rings

V. A. Bovdi, S. Siciliano

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Let KG be the group ring of a group G over a commutative ring K with unity. The rings KG are described for which xx^σ = x^σx for all (Formula Presented), where (Formula Presented) is an involution of KG; here f: G → U(K) is a homomorphism and σ is an antiautomorphism of order two of G.

Original language	English
Pages (from-to)	159-165
Number of pages	7
Journal	St. Petersburg Mathematical Journal
Volume	19
Issue number	2
DOIs	https://doi.org/10.1090/S1061-0022-08-00991-6
Publication status	Published - 2008
Externally published	Yes

Keywords

Group ring
Normality

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1090/S1061-0022-08-00991-6

Cite this

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title = "Normality in group rings",

abstract = "Let KG be the group ring of a group G over a commutative ring K with unity. The rings KG are described for which xxσ = xσx for all (Formula Presented), where (Formula Presented) is an involution of KG; here f: G → U(K) is a homomorphism and σ is an antiautomorphism of order two of G.",

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author = "Bovdi, {V. A.} and S. Siciliano",

year = "2008",

doi = "10.1090/S1061-0022-08-00991-6",

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AU - Siciliano, S.

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N2 - Let KG be the group ring of a group G over a commutative ring K with unity. The rings KG are described for which xxσ = xσx for all (Formula Presented), where (Formula Presented) is an involution of KG; here f: G → U(K) is a homomorphism and σ is an antiautomorphism of order two of G.

AB - Let KG be the group ring of a group G over a commutative ring K with unity. The rings KG are described for which xxσ = xσx for all (Formula Presented), where (Formula Presented) is an involution of KG; here f: G → U(K) is a homomorphism and σ is an antiautomorphism of order two of G.

KW - Group ring

KW - Normality

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DO - 10.1090/S1061-0022-08-00991-6

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JF - St. Petersburg Mathematical Journal

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ER -

Normality in group rings

Abstract

Keywords

ASJC Scopus subject areas

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