01. Araştırma Çıktıları | TR-Dizin | WoS | Scopus | PubMed
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Browsing 01. Araştırma Çıktıları | TR-Dizin | WoS | Scopus | PubMed by Subject "(Sheffer stroke) BL-algebra"
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Article Citation - WoS: 8BL-ALGEBRAS DEFINED BY AN OPERATOR(Honam Mathematical Soc, 2022) Oner, Tahsin; Katıcan Tuğçe; Saeid, Arsham BorumandIn this paper, Sheffer stroke BL-algebra and its properties are investigated. It is shown that a Cartesian product of two Sheffer stroke BL-algebras is a Sheffer stroke BL-algebra. After describing a filter of Sheffer stroke BL-algebra, a congruence relation on a Sheffer stroke BL-algebra is defined via its filter, and quotient of a Sheffer stroke BL-algebra is constructed via a congruence relation. Also, it is defined a homomorphism between Sheffer stroke BL-algebras and is presented its properties. Thus, it is stated that the class of Sheffer stroke BL-algebras forms a variety.Article Citation - WoS: 1STABILIZERS ON SHEFFER STROKE BL-ALGEBRAS(Honam Mathematical Soc, 2022) Katıcan Tuğçe; Oner, Tahsin; Saeid, Arsham BorumandIn this study, new properties of various filters on a Sheffer stroke BL-algebra are studied. Then some new results in filters of Sheffer stroke BL-algebras are given. Also, stabilizers of nonempty subsets of Sheffer stroke BL-algebras are defined and some properties are examined. Moreover, it is shown that the stabilizer of a filter with respect to a/n (ultra) filter of a Sheffer stroke BL-algebra is its (ultra) filter. It is proved that the stabilizer of the subset {0} of a Sheffer stroke BL-algebra is {1}. Finally, it is stated that the stabilizer St(P, Q) of P with respect to Q is an ultra filter of a Sheffer stroke BL-algebra when P is any filter and Q is an ultra filter of this algebra.