Geodesic
On semicenters of $l$-ary groupoids
Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 76-80.

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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. 
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Yu. I. Kulazhenko. On semicenters of $l$-ary groupoids. Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 76-80. http://geodesic.mathdoc.fr/item/PFMT_2013_2_a10/

[1] A. M. Galmak, “Ob operatsii $[\,]_{l,\sigma,J}$”, Materialy mezhdunar. nauchn.- prakt. konf., posvyaschennoi 100-letiyu MGU im. A. A. Kuleshova (Mogilev, 2013), 34–38

[2] A. M. Galmak, “Mnogomestnye assotsiativnye operatsii na dekartovykh stepenyakh”, Vestsi NAN Belarusi, 2008, no. 3, 28–34 | MR

[3] A. M. Galmak, Mnogomestnye operatsii na dekartovykh stepenyakh, Izd. tsentr BGU, Minsk, 2009, 265 pp.

[4] Yu. I. Kulazhenko, “O tsentrakh $l$-arnykh grupppoidov”, Materialy mezhdunar. nauchn.-prakt. konf., posvyaschennoi 100-letiyu MGU im. A. A. Kuleshova (Mogilev, 2013), 34–38

[5] Yu. I. Kulazhenko, “O tsentrakh $l$-arnykh grupppoidov”, Vesnik VDU im. P. M. Masherava, 2013, no. 3, 28–34

[6] D. A. Suprunenko, Gruppy podstanovok, Navuka i tekhnika, Mn., 1996, 366 pp. | Zbl

[7] H. Wielandt, “Unendliche Permutationsgruppen”, Vorlesungen an der Universität Tübingen WS 1959–1960, Tubingen, 1960, 1–45

[8] A. M. Galmak, $n$-Arnye gruppy, v. 2, Izd. tsentr BGU, Minsk, 2007, 324 pp.