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Diskretnaya Matematika, 2023, Volume 35, Issue 4, Pages 146–156
DOI: https://doi.org/10.4213/dm1796 (Mi dm1796) 		 
A functional identity of generalized transitivity for strongly dependent $n$-ary operations

A. V. Cheremushkin

Academy of Cryptography of Russian Federation
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DOI: https://doi.org/10.4213/dm1796
Abstract: We proof that functional identity of generalized transitivity for strongly dependent operations may be described in analogy with quasigroups by replacing term «group» by term «monoid». We show how to generalize this result to $n$-ary strongly dependent operations.
Keywords: binary and $n$-ary quasigroups, strongly dependent operation, generalized transitivity identity.
Received: 18.09.2023
Published: 28.11.2023
Document Type: Article
UDC: 512.548.7
Language: Russian
Citation: A. V. Cheremushkin, “A functional identity of generalized transitivity for strongly dependent $n$-ary operations”, Diskr. Mat., 35:4 (2023), 146–156
Citation in format AMSBIB
\Bibitem{Che23}
\by A.~V.~Cheremushkin
\paper A functional identity of generalized transitivity for strongly dependent $n$-ary operations
\jour Diskr. Mat.
\yr 2023
\vol 35
\issue 4
\pages 146--156
\mathnet{http://mi.mathnet.ru/dm1796}
\crossref{https://doi.org/10.4213/dm1796}
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