A new congruence relation related to Reflectional topology in residuated lattices

In this paper, we study the reflectional topology in a residuated lattice A, which thetopological space Refl(A) is called the reflection of A, where the set of all soaker filtersis denoted by Refl(A). We introduce a congruence relation in residuated lattices thatits quotient set is a bounded lattice algebra and every homomorphism of residuatedlattices induces a bounded lattice homomorphism between induced algebras by thiscongruence relation.

Keywords:

soaker filter , reflectional topology , congruence relation