Equationally extremal semilattices
Rings and Algebras
2016-10-18 v1
Abstract
In the current paper we study extremal semilattices with respect to their equational properties. In the class of all semilattices of order we find semilattices which have maximal (minimal) number of consistent equations. Moreover, we find a semilattice in with maximal sum of numbers of solutions of equations.
Cite
@article{arxiv.1610.04699,
title = {Equationally extremal semilattices},
author = {Artem N. Shevlyakov},
journal= {arXiv preprint arXiv:1610.04699},
year = {2016}
}