AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS

In this paper, we introduce the notion of co-annihilator of a subsetin a triangle algebra. It is shown that the co-annihilator of asubset is an interval valued residuated lattice (IVRL)-filter. Also, aspecial set of a triangle algebra is defined and the relationshipbetween this set and co-annihilator of a subset in triangle algebrais considered. Finally, co-annihilators preserving congruencerelation, or CP-congruence are defined and some results of themare given.

کلیدواژه ها:

Triangle algebra ، IVRL-filter ، Co-annihilator ، congruence