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.",

keywords = "Group ring, Normality",

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

year = "2008",

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

language = "English",

volume = "19",

pages = "159--165",

journal = "St. Petersburg Mathematical Journal",

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T1 - Normality in group rings

AU - Bovdi, V. A.

AU - Siciliano, S.

PY - 2008

Y1 - 2008

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

UR - https://www.scopus.com/pages/publications/85009821088

UR - https://www.scopus.com/pages/publications/85009821088#tab=citedBy

U2 - 10.1090/S1061-0022-08-00991-6

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

M3 - Article

AN - SCOPUS:85009821088

SN - 1061-0022

VL - 19

SP - 159

EP - 165

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

IS - 2

ER -

Normality in group rings

Abstract

Keywords

ASJC Scopus subject areas

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