Browsing by Author "Saeid, A.B."

Now showing 1 - 3 of 3

Citation - WoS: 3
Citation - Scopus: 3
On Fuzzy Sheffer Stroke Be-Algebras
(World Scientific, 2025) Oner, T.; Katican, T.; Saeid, A.B.
In this study, fuzzy Sheffer stroke BE-algebras are studied. Then a fuzzy SBE-subalgebra, a fuzzy SBE-filter, the cartesian product of fuzzy subsets and fuzzy points on a Sheffer stroke BE-algebra (briefly, SBE-algebra) are defined and it is shown that the family of all fuzzy points in a SBE-algebra is a weak SBE-algebra which is usually not a SBE-algebra. The case in which this family forms a SBE-algebra is interpreted. Also, a weak SBE-filter of a SBE-algebra is described by means of the fuzzy points and the relationships between various SBE-filters on a SBE-algebra are investigated. © 2025 World Scientific Publishing Company.
Citation - WoS: 3
Citation - Scopus: 11
On Sheffer Stroke Be-Algebras
(Sciendo, 2022) Katican, T.; Oner, T.; Saeid, A.B.
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.
Citation - Scopus: 1
Sheffer Stroke R0−Algebras
(Yazd University, 2023) Katıcan Tuğçe; Öner, T.; Saeid, A.B.
The main objective of this study is to introduce Sheffer stroke R0−algebra (for short, SR0− algebra). Then it is stated that the axiom system of a Sheffer stroke R0−algebra is independent. It is indicated that every Sheffer stroke R0−algebra is R0−algebra but specific conditions are necessarily for the inverse. Afterward, various ideals of a Sheffer stroke R0−algebra are defined, a congruence relation on a Sheffer stroke R0−algebra is determined by the ideal and quotient Sheffer stroke R0−algebra is built via this congruence relation. It is proved that quotient Sheffer stroke R0−algebra constructed by a prime ideal of this algebra is totally ordered and the cardinality is less than or equals to 2. After all, important conclusions are obtained for totally ordered Sheffer stroke R0−algebras by applying various properties of prime ideals. © 2023 Yazd University.