FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 7, PAGES 151-156

Acts over semilattices

M. Yu. Maksimovskiy

Abstract

View as HTML     View as gif image

In this paper, we consider acts over commutative semigroups of idempotents (semilattices). We prove that an act over a semilattice is a partially ordered set. We obtain a full description of acts over a finite chain and a necessary condition for a partially ordered set to be an act over some semilattice.

Location: http://mech.math.msu.su/~fpm/eng/k08/k087/k08713h.htm
Last modified: June 25, 2009