Geodesic
A functional identity of generalized transitivity for strongly dependent $n$-ary operations
Diskretnaya Matematika, Tome 35 (2023) no. 4, pp. 146-156

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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. 
@article{DM_2023_35_4_a9,
     author = {A. V. Cheremushkin},
     title = {A functional identity of generalized transitivity for strongly dependent $n$-ary operations},
     journal = {Diskretnaya Matematika},
     pages = {146--156},
     publisher = {mathdoc},
     volume = {35},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2023_35_4_a9/}
}
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A. V. Cheremushkin. A functional identity of generalized transitivity for strongly dependent $n$-ary operations. Diskretnaya Matematika, Tome 35 (2023) no. 4, pp. 146-156. http://geodesic.mathdoc.fr/item/DM_2023_35_4_a9/