Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (3)
- Authors
- Shevlyakov, Artem N.
- Contact information
- Shevlyakov, Artem N.: Omsk Branch of Sobolev Institute of Mathematics SB RAS Pevtsova, 13, Omsk, 644099 Omsk State Technical University Mira, 11, Omsk, 644050 Russia;
- Keywords
- semilattice; equation; solutions; consistency; universal algebraic geometry
- Abstract
In the current paper we study extremal semilattices with respect to their equational properties. In the class Sn of all semilattices of order n we find semilattices which have maximal (minimal) number of consistent equations. Moreover, we find a semilattice in Sn with maximal sum of numbers of solutions of equations.
- Pages
- 298–304
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/33630
Journal of Siberian Federal University. Mathematics & Physics / Equationally Extremal Semilattices
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