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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2013, Issue 2(15), Pages 76–80
(Mi pfmt241)
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MATHEMATICS
On semicenters of $l$-ary groupoids
Yu. I. Kulazhenko F. Scorina Gomel State University, Gomel
Abstract:
In the paper the author continues to describe his research dedicated to the study of the properties of the $l$-ary groupoid $\langle A^J, [\,]_{l,\sigma,J}\rangle$ where $A^J$ is a set of all mappings of an arbitrary set $J$ in an arbitrary groupoid $A$, and the $l$-ary operation $[\,]_{l,\sigma,J}$ is defined for any integer $l\geqslant 2$ and for any permutation $\sigma$ of the set $J$. In particular, some semiabelian criteria of this $l$-ary groupoid are found.
Keywords:
$n$-ary group, $l$-ary groupoid, semiabelity, $l$-ary operation.
Received: 26.12.2012
Citation:
Yu. I. Kulazhenko, “On semicenters of $l$-ary groupoids”, PFMT, 2013, no. 2(15), 76–80
Linking options:
https://www.mathnet.ru/eng/pfmt241 https://www.mathnet.ru/eng/pfmt/y2013/i2/p76
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