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http://dx.doi.org/10.5831/HMJ.2022.44.1.78

STABILIZERS ON SHEFFER STROKE BL-ALGEBRAS  

Katican, Tugce (Department of Mathematics, Faculty of Arts and Sciences, Izmir University of Economics)
Oner, Tahsin (Department of Mathematics, Faculty of Science, Ege University)
Saeid, Arsham Borumand (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman)
Publication Information
Honam Mathematical Journal / v.44, no.1, 2022 , pp. 78-97 More about this Journal
Abstract
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.
Keywords
(Sheffer stroke) BL-algebra; Sheffer operation; (ultra) filter; stabilizer;
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