Geodesic
On Sheffer Stroke BE-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 2, pp. 293-314

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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.
Keywords: Sheffer stroke, SBE-algebra, congruence, SBE-homomorphism 
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Katican, Tugce; Oner, Tahsin; Saeid, Arsham Borumand. On Sheffer Stroke BE-Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 2, pp. 293-314. http://geodesic.mathdoc.fr/item/DMGAA_2022_42_2_a3/