On some sufficient condition for the equality of multi-clone and super-clone

Nikolay A. Peryazev^a, Ivan K. Sharankhaev<sup>b

a</sup> Saint Petersburg State Electrotechnical University, Professor Popov, 5, Saint Petersburg, 197376, Russia
^b Institute of Mathematics and Informatics, Buryat State University, Smolin, 24a, Ulan-Ude, 670000, Russia

Abstract: 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, superposition, operation, substitution.

UDC: 519.7

Received: 05.04.2017
Received in revised form: 18.07.2017
Accepted: 28.09.2017

Language: English

DOI: 10.17516/1997-1397-2018-11-1-97-102

Bibliographic databases:

•