Geodesic
Permutation lattices of equivalence relations on Cartesian products
Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 3, pp. 81-116 Cet article a éte moissonné depuis la source Math-Net.Ru

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Necessary conditions for the equivalence relation $\theta$ on the set $A$ to be an element of some $GA$-lattice are obtained. 
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S. V. Polin. Permutation lattices of equivalence relations on Cartesian products. Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 3, pp. 81-116. http://geodesic.mathdoc.fr/item/MVK_2014_5_3_a4/

[1] Belousov V. D., Osnovy teorii kvazigrupp i lup, Nauka, M., 1967 | MR | Zbl | Zbl

[2] Gorchinskii Yu. N., “O gomomorfizmakh mnogoosnovnykh universalnykh algebr v svyazi s kriptograficheskimi primeneniyami”, Trudy po diskretnoi matematike, 1, TVP, M., 1977, 67–84 | MR | Zbl

[3] Grettser G., Obschaya teoriya reshetok, “Mir”, M., 1982 | MR

[4] Kon P., Universalnaya algebra, “Mir”, M., 1968 | MR

[5] Kurosh A. G., Lektsii po obschei algebre, “Nauka”, M., 1973 | MR

[6] Polin S. V., “Sistemy uravnenii i reshetki kongruentsii universalnykh algebr”, Matematicheskie voprosy kriptografii, 4:4 (2013), 109–144