QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| دوره 11، شماره 2، فروردین 2024، صفحه 65-82 اصل مقاله (164.78 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.11919.1608 | ||
| نویسندگان | ||
| Rajab Ali Borzooei* 1؛ Mohammad Mohseni Takallo1؛ Mona Aaly Kologani2؛ Young Bae Jun3 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran. | ||
| 2Hatef Higher Education Institute, Zahedan, Iran. | ||
| 3Department of Mathematics Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Bounded equality algebra؛ fuzzy sets؛ ideal؛ fuzzy ideal؛ quotient structure | ||
| مراجع | ||
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