STABILIZERS ON SHEFFER STROKE BL-ALGEBRAS
STABILIZERS ON SHEFFER STROKE BL-ALGEBRAS
Summary: In 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.
- Ege University Turkey
MV-algebras, Sheffer operation, (Sheffer stroke) BL-algebra, Filter Theory, stabilizer, (ultra) filter, Other algebras related to logic
MV-algebras, Sheffer operation, (Sheffer stroke) BL-algebra, Filter Theory, stabilizer, (ultra) filter, Other algebras related to logic
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