Geodesic
On sets of generators of $l$-ary semigroup $\langle A^k,[\,\,]_{l,\sigma,k}\rangle$
Problemy fiziki, matematiki i tehniki, no. 1 (2021), pp. 44-49

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The problem of finding, from a known generating set of the semigroup $A$, the generating set of the $l$-ary semigroup $\langle A^k,[\,\,]_{l,\sigma,k}\rangle$ with the $l$-ary operation $[\,\,]_{l,\sigma,k}$, which is defined on the $k$-th Cartesian power of an arbitrary groupoid $A$ for any integer $l\ge2$ and any permutation $\sigma$ from the set $\mathbf{S}_k$ of all permutations of the set $\{1, 2,\dots,k\}$ has been solved.
Keywords: semigroup, $l$-ary semigroup, set of generators. 
@article{PFMT_2021_1_a6,
     author = {A. M. Gal'mak},
     title = {On sets of generators of $l$-ary semigroup $\langle A^k,[\,\,]_{l,\sigma,k}\rangle$},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {44--49},
     publisher = {mathdoc},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2021_1_a6/}
}
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A. M. Gal'mak. On sets of generators of $l$-ary semigroup $\langle A^k,[\,\,]_{l,\sigma,k}\rangle$. Problemy fiziki, matematiki i tehniki, no. 1 (2021), pp. 44-49. http://geodesic.mathdoc.fr/item/PFMT_2021_1_a6/