QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.

2 Hatef Higher Education Institute, Zahedan, Iran.

3 Department of Mathematics Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea.

Abstract

The notion of fuzzy ideal in bounded equality algebras is defined, and several properties are studied. Fuzzy ideal generated by a fuzzy set is established, and a fuzzy ideal is made by using the collection of ideals. Characterizations of fuzzy ideal are discussed. Conditions for a fuzzy ideal to attains its infimum on all ideals are provided. Homomorphic image and preimage of fuzzy ideal are considered. Finally, quotient structures of equality algebra induced by (fuzzy) ideal are studied.

Keywords

References

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Journal of Algebraic Systems
Volume 11, Issue 2
January 2024
Pages 65-82

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