Journal of Siberian Federal University. Mathematics & Physics / Minimal Algebras of Unary Multioperations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (2)
Authors
Peryazev, Nikolay A.; Peryazeva, Yulia V.; Sharankhaev, Ivan K.
Contact information
Peryazev, Nikolay A.:Saint Petersburg Electrotechnical University Professor Popov, 5, Saint Peterburg, 197376 Russial; ; Peryazeva, Yulia V.:Gymnasium 24 of Saint Petersburg Srednii Avenue, 20, Saint Peterburg, 199053 Russia; ; Sharankhaev, Ivan K.:Institute of Mathematics and Computer Science Buryat State University Smolin, 24a, Ulan-Ude, 670000 Russia;
Keywords
multioperation; algebra; minimal algebra; matrix; operation; substitution
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

Pages
220–224
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/20246