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On some sufficient condition for the equality of multi-clone and super-clone
Nikolay A. Peryazeva, Ivan K. Sharankhaevb a 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.
Received: 05.04.2017 Received in revised form: 18.07.2017 Accepted: 28.09.2017
Citation:
Nikolay A. Peryazev, Ivan K. Sharankhaev, “On some sufficient condition for the equality of multi-clone and super-clone”, J. Sib. Fed. Univ. Math. Phys., 11:1 (2018), 97–102
Linking options:
https://www.mathnet.ru/eng/jsfu598 https://www.mathnet.ru/eng/jsfu/v11/i1/p97
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Abstract page: | 523 | Full-text PDF : | 77 | References: | 46 |
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