On Sheffer Stroke Be-Algebras

Abstract

In this paper we introduce Sheffer stroke BE-Algebras (briefly, SBE-Algebras) and investigate a relationship between SBE-Algebras and BE-Algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-Algebra, it is shown that any SBE-filter of a SBE-Algebra is a SBE-subalgebra but the converse of this statement is not true. Besides we construct quotient SBE-Algebras via a congruence relation defined by a special SBE-filter. We discuss SBE-homomorphisms and their properties between SBE-Algebras. Finally, a relation between Sheffer stroke Hilbert algebras and SBE-Algebras is established. © 2022 Tugce Katican et al., published by Sciendo.