Geodesic
Generalizing poliadic operations
Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 50-57

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For any integers $l\geqslant 2$, $k\geqslant 2$, of a subset $T$ of the symmetric group $\mathbf{S}_k$ and semi-group $A$ on the Cartesian product $T\times A^k$ an $l$-ary operation $[\,]_{l, T, k}$ is determined. This $l$-ary operation is similar to the Post poliadic operations, which he defined on the set of poliadic permulations. In the paper the properties of the operation $[\,]_{l, T, k}$ are studied.
Keywords: operation, semigroup, $l$-ary semigroup, $l$-ary group, skew element, idempotent.
Mots-clés : group 
@article{PFMT_2013_2_a7,
     author = {A. M. Gal'mak},
     title = {Generalizing poliadic operations},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {50--57},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2013_2_a7/}
}
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A. M. Gal'mak. Generalizing poliadic operations. Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 50-57. http://geodesic.mathdoc.fr/item/PFMT_2013_2_a7/