Semi-commutativity criteria and self-coincidence elements expressed by vectors properties of $n$-ary groups
Algebra and discrete mathematics, Tome 9 (2010) no. 2, pp. 98-107
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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.
@article{ADM_2010_9_2_a6,
author = {Yu. I. Kulazhenko},
title = {Semi-commutativity criteria and self-coincidence elements expressed by vectors properties of $n$-ary groups},
journal = {Algebra and discrete mathematics},
pages = {98--107},
year = {2010},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2010_9_2_a6/}
}
TY - JOUR AU - Yu. I. Kulazhenko TI - Semi-commutativity criteria and self-coincidence elements expressed by vectors properties of $n$-ary groups JO - Algebra and discrete mathematics PY - 2010 SP - 98 EP - 107 VL - 9 IS - 2 UR - http://geodesic.mathdoc.fr/item/ADM_2010_9_2_a6/ LA - en ID - ADM_2010_9_2_a6 ER -
Yu. I. Kulazhenko. Semi-commutativity criteria and self-coincidence elements expressed by vectors properties of $n$-ary groups. Algebra and discrete mathematics, Tome 9 (2010) no. 2, pp. 98-107. http://geodesic.mathdoc.fr/item/ADM_2010_9_2_a6/