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Definition and investigation of moduloid over an ordinal nexus: A review of some fuzzy concepts | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 3، دوره 10، شماره 1، خرداد 2025، صفحه 21-42 اصل مقاله (370.8 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2024.11243.1096 | ||
| نویسندگان | ||
| Esmaeil Nahidi* ؛ Hojat Babaei؛ Abbas Hasankhani | ||
| Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, I. R. Iran | ||
| تاریخ دریافت: 13 شهریور 1403، تاریخ بازنگری: 04 دی 1403، تاریخ پذیرش: 04 دی 1403 | ||
| چکیده | ||
| While ordinal numbers facilitate the comparison between two infinite addresses, no studies have so far defined and investigated the use of algebraic space structures over an ordinal nexus. Here, the notions of moduloid over ordinal nexus and homomorphism between two Γ-moduloids are defined and some relations between moduloid and ordinal nexus are investigated. Moreover, some of these concepts are fuzzified. By defining the fuzzy subnexuses over a nexus N, it is shown that if S (i.e., a nonempty subset of N) is a meet closed subset then N is finite. Accordingly, the present study provides insights into the notions of N∞, moduloid and its subsets, moduloid over cyclic nexuses and its subsets, along with supremum of two addresses over ordinal nexuses. | ||
| کلیدواژه‌ها | ||
| Γ-moduloid ordinal nexus؛ γ-moduloid homomorphism؛ fuzzy moduloid | ||
| مراجع | ||
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