Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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)
  • Received : 2021.08.27
  • Accepted : 2021.12.04
  • Published : 2022.03.25
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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

Acknowledgement

We would like to thank the reviewers for their thoughtful comments and efforts towards improving our manuscript.

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