AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS

In this paper, we introduce the notion of co-annihilator of a subset in a triangle algebra. It is shown that the co-annihilator of a subset is an interval valued residuated lattice (IVRL)-filter. Also, a special set of a triangle algebra is defined and the relationship between this set and co-annihilator of a subset in triangle algebra is considered. Finally, co-annihilators preserving congruence relation, or $CP$-congruence are defined and some results of them are given.