Minimal algebras of unary multioperations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 220-224.

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A matrix impression of algebras of unary multioperations of a finite rank and the list of the identities which are carried out in such algebras are gained. These results are used for the proof of the main result: descriptions of the minimal algebras of unary multioperations of a finite rank. As a result the list of all such minimal algebras for small ranks is received.
Keywords: multioperation, algebra, minimal algebra, operation
Mots-clés : matrix, substitution.
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Nikolay A. Peryazev; Yulia V. Peryazeva; Ivan K. Sharankhaev. Minimal algebras of unary multioperations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 220-224. http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a10/

[1] D. Hobby, R. McKenzie, “The structure of finite algebras”, Contemporary Mathematics, 76, 1988 | DOI | MR | Zbl

[2] A. S. Kazimirov, N. A. Peryazev, “Algebras of unary multioperations”, International Conference Maltsev meeting (Novosibirsk, 2013), 156 (in Russian)

[3] N. A. Peryazev, “Minimal algebras of unary multioperations”, International Conference Maltsev meeting (Novosibirsk, 2015), 193 (in Russian)

[4] N. A. Peryazev, I. K. Sharankhaev, “Galois theory for clones and superclones”, Diskretnaya matematika, 27:4 (2015), 79–93 (in Russian) | DOI