On BHK-Algebras

Abstract

In this work, the concept of BHK-algebras that is a generalization of d-algebras is established, and a survey of relations between BHK-algebras and d-algebras is made. Algebraical properties of BHK-algebras are derived and some discussions on the cases for a BHK-algebra to be a d-algebra is given. Additionally, twin ideal is given as a new concept and the quotient BHK-algebras is obtained. Also, the concept of derivation on BHK-algebras is defined and the features of the derivations are studied.