Geodesic
Congruences of finite multi-base universal algebras isomorphic to $n$-ary groups derived from groups
Matematičeskie voprosy kriptografii, Tome 13 (2022) no. 3, pp. 131-142 Cet article a éte moissonné depuis la source Math-Net.Ru

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The homomorphism of a multi-base universal algebra to a multi-base universal algebra will be called an $mb$-homomorphism, and the corresponding congruences will be called $mb$-congruences. A description is obtained of $mb$-congruences of finite multi-base universal algebras, $mb$-isomorphic to $n$-ary groups derived from groups, that is, admitting representation in the form of a sequential application of the operation of some group. In particular, this class includes universal algebras for which the Gluskin – Hosszu theorem and its analogues are valid for $n$-ary operations. 
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I. G. Shaposhnikov. Congruences of finite multi-base universal algebras isomorphic to $n$-ary groups derived from groups. Matematičeskie voprosy kriptografii, Tome 13 (2022) no. 3, pp. 131-142. http://geodesic.mathdoc.fr/item/MVK_2022_13_3_a7/

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