On some sufficient condition for the equality of multi-clone and super-clone
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 97-102
Cet article a éte moissonné depuis la source Math-Net.Ru
Multi-clones and super-clones are considered in this paper. They are generalizations of clones. To get a super-clone one need to add to a multi-clone the closure condition with respect to solvability of the simplest equation. The condition for identity of multi-clone and super-clone is proved.
Keywords:
multi-operation, multi-clone, super-clone, operation
Mots-clés : superposition, substitution.
Mots-clés : superposition, substitution.
@article{JSFU_2018_11_1_a13,
author = {Nikolay A. Peryazev and Ivan K. Sharankhaev},
title = {On some sufficient condition for the equality of multi-clone and super-clone},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {97--102},
year = {2018},
volume = {11},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a13/}
}
TY - JOUR AU - Nikolay A. Peryazev AU - Ivan K. Sharankhaev TI - On some sufficient condition for the equality of multi-clone and super-clone JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2018 SP - 97 EP - 102 VL - 11 IS - 1 UR - http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a13/ LA - en ID - JSFU_2018_11_1_a13 ER -
%0 Journal Article %A Nikolay A. Peryazev %A Ivan K. Sharankhaev %T On some sufficient condition for the equality of multi-clone and super-clone %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2018 %P 97-102 %V 11 %N 1 %U http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a13/ %G en %F JSFU_2018_11_1_a13
Nikolay A. Peryazev; Ivan K. Sharankhaev. On some sufficient condition for the equality of multi-clone and super-clone. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 97-102. http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a13/
[1] D. Lau, Function Algebras on Finite Sets, Springer Monographs in Mathematics, Springer-Verlag, Berlin–Heidelberg, 2006 | MR
[2] N.A. Peryazev, “Clones, co-clones, hyperclones and superclones”, Uchenie Zapiski Kazan. Univer. Ser. Fiz. Matem. Nauki, 151:2 (2009), 120–125 (in Russian)
[3] N.A. Peryazev, I.K. Sharankhaev, “Galois theory for clones and superclones”, Diskr. mat., 27:4 (2015), 79–93 (in Russian) | DOI | MR
[4] A.I. Maltsev, “Iterative algebras and Post varieties”, Algebra i Logika, 5:2 (1966), 5–24 (in Russian) | MR