Geodesic
Medial and paramedial alebras with strong dependable operations
Prikladnaya Diskretnaya Matematika. Supplement, no. 17 (2024), pp. 19-23

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We consider general functional medial and paramedial equations with four object variables. We give analogous results to those known for quasigroup operations for a class of strongly dependable operations. As a consequence of these results analogous linear representation for every operation of a binary algebra satisfying one of these hyperidentities is obtained.
Keywords: $n$-ary quasigroup, strong dependant operation, medial and paramedial operations. 
@article{PDMA_2024_17_a4,
     author = {A. V. Cheremushkin},
     title = {Medial and paramedial alebras with strong dependable operations},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {19--23},
     publisher = {mathdoc},
     number = {17},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2024_17_a4/}
}
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A. V. Cheremushkin. Medial and paramedial alebras with strong dependable operations. Prikladnaya Diskretnaya Matematika. Supplement, no. 17 (2024), pp. 19-23. http://geodesic.mathdoc.fr/item/PDMA_2024_17_a4/