QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS
Publish place: Journal of Algebraic Systems، Vol: 11، Issue: 2
Publish Year: 1403
Type: Journal paper
Language: English
View: 182
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Document National Code:
JR_JAS-11-2_005
Index date: 4 July 2023
QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS 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.
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QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS authors
Rajab Ali Borzooei
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.
Mohammad Mohseni Takallo
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.
Mona Aaly Kologani
Hatef Higher Education Institute, Zahedan, Iran.
Young Bae Jun
Department of Mathematics Education, Gyeongsang National University, P.O. Box ۵۲۸۲۸, Jinju, Korea.
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