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This article is cited in 2 scientific papers (total in 2 papers)
Equationally extremal semilattices
Artem N. Shevlyakov Omsk Branch of Sobolev Institute of Mathematics SB RAS,
Pevtsova, 13, Omsk, 644099,
Omsk State Technical University,
Mira, 11, Omsk, 644050,
Russia
Abstract:
In the current paper we study extremal semilattices with respect to their equational properties. In the class $\mathbf{S}_n$ of all semilattices of order $n$ we find semilattices which have maximal (minimal) number of consistent equations. Moreover, we find a semilattice in $\mathbf{S}_n$ with maximal sum of numbers of solutions of equations.
Keywords:
semilattice, equation, solutions, consistency, universal algebraic geometry.
Received: 02.11.2016 Received in revised form: 10.12.2016 Accepted: 20.02.2017
Citation:
Artem N. Shevlyakov, “Equationally extremal semilattices”, J. Sib. Fed. Univ. Math. Phys., 10:3 (2017), 298–304
Linking options:
https://www.mathnet.ru/eng/jsfu556 https://www.mathnet.ru/eng/jsfu/v10/i3/p298
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Abstract page: | 156 | Full-text PDF : | 54 | References: | 23 |
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