Geodesic
Partially invertible strongly dependent $n$-ary operations
Sbornik. Mathematics, Tome 211 (2020) no. 2, pp. 291-308

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove analogues of Malyshev's theorems on the structure of finite $n$-quasigroups with the weak invertibility condition and of Belousov's theorem with a description of $(i,j)$-associative $n$-quasigroups for the case of strongly dependent $n$-ary semigroup operations on a finite set. Bibliography: 8 titles.
Keywords: $n$-ary semigroup, strongly dependent operation, weakly invertible operation. 
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     author = {A. V. Cheremushkin},
     title = {Partially invertible strongly dependent $n$-ary operations},
     journal = {Sbornik. Mathematics},
     pages = {291--308},
     publisher = {mathdoc},
     volume = {211},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2020_211_2_a5/}
}
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A. V. Cheremushkin. Partially invertible strongly dependent $n$-ary operations. Sbornik. Mathematics, Tome 211 (2020) no. 2, pp. 291-308. http://geodesic.mathdoc.fr/item/SM_2020_211_2_a5/