@article{MVK_2015_6_1_a6,
author = {S. V. Polin},
title = {Permutation lattices of equivalence relations on the {Cartesian} products and systems of equations concordant with these {lattices.~I}},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {135--158},
year = {2015},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MVK_2015_6_1_a6/}
}
TY - JOUR AU - S. V. Polin TI - Permutation lattices of equivalence relations on the Cartesian products and systems of equations concordant with these lattices. I JO - Matematičeskie voprosy kriptografii PY - 2015 SP - 135 EP - 158 VL - 6 IS - 1 UR - http://geodesic.mathdoc.fr/item/MVK_2015_6_1_a6/ LA - ru ID - MVK_2015_6_1_a6 ER -
%0 Journal Article %A S. V. Polin %T Permutation lattices of equivalence relations on the Cartesian products and systems of equations concordant with these lattices. I %J Matematičeskie voprosy kriptografii %D 2015 %P 135-158 %V 6 %N 1 %U http://geodesic.mathdoc.fr/item/MVK_2015_6_1_a6/ %G ru %F MVK_2015_6_1_a6
S. V. Polin. Permutation lattices of equivalence relations on the Cartesian products and systems of equations concordant with these lattices. I. Matematičeskie voprosy kriptografii, Tome 6 (2015) no. 1, pp. 135-158. http://geodesic.mathdoc.fr/item/MVK_2015_6_1_a6/
[1] Belousov V. D., Osnovy teorii kvazigrupp i lup, Nauka, M., 1967 | MR
[2] Belousov V. D., “Sistemy kvazigrupp s obobschennymi tozhdestvami”, Uspekhi matem. nauk, 20:1(121), 75–146 | MR | Zbl
[3] Glukhov M. M., “O metodakh postroeniya sistem ortogonalnykh kvazigrupp s ispolzovaniem grupp”, Matematicheskie voprosy kriptografii, 2:4 (2011), 5–24
[4] 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
[5] Grettser G., Obschaya teoriya reshetok, Mir, M., 1982 | MR
[6] Kon P., Universalnaya algebra, Mir, M., 1968 | MR
[7] Kurosh A. G., Lektsii po obschei algebre, Nauka, M., 1973 | MR
[8] Maltsev A. I., “K obschei teorii algebraicheskikh sistem”, Matem. sb. (novaya seriya), 35(77):1 (1954), 3–20 | MR | Zbl
[9] Polin S. V., “Reshenie uravnenii metodom posledovatelnogo gruppirovaniya i ego optimizatsiya”, Matematicheskie voprosy kriptografii, 3:1 (2012), 97–123
[10] Polin S. V., “Sistemy uravnenii i reshetki kongruentsii universalnykh algebr”, Matematicheskie voprosy kriptografii, 4:4 (2013), 109–144
[11] Polin S. V., “Perestanovochnye reshetki otnoshenii ekvivalentnosti dekartovykh proizvedenii”, Matematicheskie voprosy kriptografii, 5:3 (2014), 81–116
[12] Kharari F., Teoriya grafov, Mir, M., 1973 | MR