On Sheffer stroke BH-algebras

Abstract

In this study, a Sheffer stroke BH-algebra is introduced and its features are examined. After showing that the axioms of a Sheffer stroke BH-algebra are independent, the connection between a Sheffer stroke BH-algebra and a BH-algebra is stated. After describing a subalgebra and a normal subset of a Sheffer stroke BH-algebra, the relationship between these structures is shown. A filter of a Sheffer stroke BH-algebra is defined and the quotient of a Sheffer stroke BH-algebra is constructed. Then a homomorphism between Sheffer stroke BH-algebras is introduced and its properties are studied.