Simple polyadic groups

H. Khodabandeh; M. Shahryari

doi:10.1134/S0037446614040156

Simple polyadic groups

H. Khodabandeh^*, M. Shahryari

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

The main aim of this article is to establish a characterization of simple polyadic groups in terms of ordinary groups and their automorphisms. We give two different definitions of simpleness for polyadic groups, from the point of views of universal algebra, UAS (universal algebraic simpleness), and group theory, GTS (group theoretical simpleness). We obtain necessary and sufficient conditions for a polyadic group to be UAS or GTS.

Original language	English
Pages (from-to)	734-744
Number of pages	11
Journal	Siberian Mathematical Journal
Volume	55
Issue number	4
DOIs	https://doi.org/10.1134/S0037446614040156
Publication status	Published - Jul 2014
Externally published	Yes

Keywords

congruence
n-ary group
polyadic group
retract of n-ary group
simple polyadic group

ASJC Scopus subject areas

General Mathematics

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10.1134/S0037446614040156

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AU - Shahryari, M.

PY - 2014/7

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AB - The main aim of this article is to establish a characterization of simple polyadic groups in terms of ordinary groups and their automorphisms. We give two different definitions of simpleness for polyadic groups, from the point of views of universal algebra, UAS (universal algebraic simpleness), and group theory, GTS (group theoretical simpleness). We obtain necessary and sufficient conditions for a polyadic group to be UAS or GTS.

KW - congruence

KW - n-ary group

KW - polyadic group

KW - retract of n-ary group

KW - simple polyadic group

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Simple polyadic groups

Abstract

Keywords

ASJC Scopus subject areas

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