Abstract
In this paper, we study (open) filters and deductive systems of self-distributive weak Heyting algebras (SDWH-algebras) and obtain some results which determine the relationship between them. We show that the variety of SDWH-algebras is not weakly regular and every open filter is the kernel of at least one congruence relation. Then it presents necessary and sufficient conditions for the existence of a one to one correspondence between open filters and congruence relations.
Publisher
Uniwersytet Lodzki (University of Lodz)