A Class of Congruencies on Distributive Semilattice
-
Published:2022-12-06
Issue:1
Volume:34
Page:283-291
-
ISSN:2500-5782
-
Container-title:Revista de Investigaciones Universidad del Quindío
-
language:
-
Short-container-title:Rev. Invest. Univ. Quindío
Author:
Bekele Tolesa Dekeba,Reta Tesfu
Abstract
In this paper we, contribute the notation of natural epimorphism of a semilattice on the quotient semilattice and subsemilattice. If S is distributive semilattice and F is a filter of S, then we demonstrate that θF is the smallest congruence on S containing F in a single equivalence class and that S/θF is distributive. In addition, the author proved that map FθF is an isomorphism from the lattice of F0(S) all non-empty filters of S into a permutable sublattice of the lattice C(S) of all congruencies on S.
Publisher
Universidad del Quindio
Subject
Management Science and Operations Research,Mechanical Engineering,Energy Engineering and Power Technology