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This article is cited in 1 scientific paper (total in 1 paper)
Minimal algebras of unary multioperations
Nikolay A. Peryazeva, Yulia V. Peryazevab, Ivan K. Sharankhaevc a Saint Petersburg Electrotechnical University, Professor Popov, 5, Saint Peterburg, 197376, Russia
b Gymnasium 24 of Saint Petersburg, Srednii Avenue, 20, Saint Peterburg, 199053, Russia
c Institute of Mathematics and Computer Science, Buryat State University
Smolin, 24a, Ulan-Ude, 670000, Russia
Abstract:
A matrix impression of algebras of unary multioperations of a finite rank and the list of the identities which are carried out in such algebras are gained. These results are used for the proof of the main result: descriptions of the minimal algebras of unary multioperations of a finite rank. As a result the list of all such minimal algebras for small ranks is received.
Keywords:
multioperation, algebra, minimal algebra, matrix, operation, substitution.
Received: 10.01.2016 Received in revised form: 17.02.2016 Accepted: 24.03.2016
Citation:
Nikolay A. Peryazev, Yulia V. Peryazeva, Ivan K. Sharankhaev, “Minimal algebras of unary multioperations”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 220–224
Linking options:
https://www.mathnet.ru/eng/jsfu479 https://www.mathnet.ru/eng/jsfu/v9/i2/p220
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