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Equalizer in the Kleisli category of the $n$-fuzzy powerset monad | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 4 - شماره پیاپی 29، اسفند 2024، صفحه 83-99 اصل مقاله (527.58 K) | ||
| نوع مقاله: Special Issue Dedicated to Prof. Esfandiar Eslami | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.22946.1584 | ||
| نویسندگان | ||
| Seyed Naser Hosseini* ؛ Yousef Qasemi Nezhad* | ||
| Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this article, we first consider the $L$-fuzzy powerset monad on a completely distributive lattice $L$. Then for $L=[n]$, we investigate the fuzzy powerset monad on $[n]$ and we introduce simple, subsimple and quasisimple $L$-fuzzy sets. Finally, we provide necessary and sufficient conditions for the existence of an equalizer of a given pair of morphisms in the Kleisli category associated to this monad. Several illustrative examples are also provided. | ||
| کلیدواژه‌ها | ||
| (completely distributive) lattice؛ (simple؛ subsimple؛ quasisimple) fuzzy set؛ fuzzy powerset functor | ||
| مراجع | ||
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