International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 22, Pages 3631-3643
doi:10.1155/IJMMS.2005.3631

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.