Yu. I. Kulazhenko, “Semi-commutativity criteria and self-coincidence elements expressed by vectors properties of <nobr>$n$</nobr>-ary groups”, Algebra Discrete Math., 2010, Volume 9, Issue 2,Pages <nobr>98

This article is cited in 3 papers

RESEARCH ARTICLE

Semi-commutativity criteria and self-coincidence elements expressed by vectors properties of $n$-ary groups

Yu. I. Kulazhenko

Sovetskaya St., 104, 246019 Gomel, Belarus

Abstract: In this paper new criteria of semi-commutativity and results on self-coincidence of an arbitrary point $P$ in the terms of properties of vectors of $n$-ary groups are obtained.

Keywords: Semi-abelian $n$-ary group, self-coincidence of points (elements), symmetric points, a parallelogram of an $n$-ary group, vectors of $n$-ary groups.

MSC: 20N15

Received: 28.03.2010
Revised: 11.11.2010

Language: English