MMN-3816
On co-annihilators in equality algebras
Sogol Niazian; Mona Aaly Kologani; Shahin Homayon Arya; Rajab Ali Borzooei;Abstract
In this paper, we introduce the notion of co-annihilator on a lattice equality algebra $\LomE$ and investigate some basic properties of them. Specially, by using the generated filters in $\LomE$, we prove that the set of all filters of $\LomE$ forms a bounded distributive pseudo-complemented lattice, which pseudo-complemented of any filter is co-annihilator of it. Finally, we construct a Boolean algebra by the set of all co-annihilators of $\LomE$.
Vol. 24 (2023), No. 2, pp. 933-951
DOI: 10.18514/MMN.2023.3816