Katıcan TuğçeOner, TahsinSaeid, Arsham Borumand2023-06-162023-06-1620221225-293X2288-6176https://doi.org/10.5831/HMJ.2022.44.1.78https://hdl.handle.net/20.500.14365/2727In 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.eninfo:eu-repo/semantics/closedAccess(Sheffer stroke) BL-algebraSheffer operation(ultra) filterstabilizerFilter TheoryArticle10.5831/HMJ.2022.44.1.78