On Sheffer stroke BE-algebras
Tahsin Öner, Tuğçe Katıcan, Arsham Borumand Saeid · Discussiones Mathematicae - General Algebra and Applications · 2022
In this paper we introduce Sheffer stroke BE-algebras (briefly, SBEalgebras) 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 SBEsubalgebra 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.