Saeed Rasoli

This paper investigates specific classes of morphisms in the category of residuated lattices. We introduce and examine the concepts of \emph{Baer} and \emph{essential} morphisms, establishing that a morphism is Baer if and only if it maps every dense subset of its domain to a dense subset of its codomain. We further prove that every essential morphism is Baer, and we present a counterexample demonstrating that the converse implication does not generally hold.