Geodesic
Medial and paramedial general identities for strong dependance operations
Prikladnaâ diskretnaâ matematika, no. 3 (2024), pp. 21-40

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We consider general functional medial and paramedial equations with four object variables. We give analogous of khown results with quasigroup operations for a class of strong dependable operations. As a consequence of these results, an analogous linear representation for every operation of a binary algebra satisfying one of these hyperidentities is obtained. Nevertheless, co-medial and co-paramedial algebras may have nonlinear binary operations.
Keywords: $n$-ary quasigroup, strong dependent operation, medial and paramedial operations, linear representation. 
@article{PDM_2024_3_a1,
     author = {A. V. Cheremushkin},
     title = {Medial and paramedial general identities for strong dependance operations},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {21--40},
     publisher = {mathdoc},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2024_3_a1/}
}
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A. V. Cheremushkin. Medial and paramedial general identities for strong dependance operations. Prikladnaâ diskretnaâ matematika, no. 3 (2024), pp. 21-40. http://geodesic.mathdoc.fr/item/PDM_2024_3_a1/