Geodesic
Equationally extremal semilattices
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 298-304

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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, consistency, universal algebraic geometry.
Mots-clés : equation, solutions 
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     author = {Artem N. Shevlyakov},
     title = {Equationally extremal semilattices},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a4/}
}
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Artem N. Shevlyakov. Equationally extremal semilattices. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 298-304. http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a4/