vix.ing · top · new · best · stats · spec

Equationally extremal semilattices

2016/10/15 by Аrtеm N. Shevlyakov, Shevlyakov, Artem N.
Computer Science · Mathematics · #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1610.04699

openalex publication_date 2016/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related