Annihilators on weakly standard BCC-algebras

Abstract

In a recent paper the authors presented a new construction of BCC-algebras derived from posets with the top element 1. Resulting BCC-algebras, called weakly standard, are those for which every 4-element subset containing 1 is a subalgebra. In this paper we continue our investigations focusing on the properties of their lattices of congruence kernels.