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
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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},
publisher = {mathdoc},
volume = {11},
number = {1},
year = {2018},
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 PB - mathdoc 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 %I mathdoc %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/