Oner, TahsinKatıcan TuğçeSaeid, Arsham Borumand2023-06-162023-06-1620221225-293X2288-6176https://doi.org/10.5831/HMJ.2022.44.2.165https://hdl.handle.net/20.500.14365/2728In 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.eninfo:eu-repo/semantics/closedAccess(Sheffer stroke) BL-algebraSheffer strokefiltercongruenceSheffer StrokeFuzzy FiltersBL-ALGEBRAS DEFINED BY AN OPERATORArticle10.5831/HMJ.2022.44.2.165