EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ | ||
| Journal of Algebraic Systems | ||
| مقاله 9، دوره 7، شماره 2، فروردین 2020، صفحه 217-226 اصل مقاله (138.61 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2019.7254.1355 | ||
| نویسندگان | ||
| Gh. Mirhosseinkhani* 1؛ N. Nazari2 | ||
| 1Department of Mathematics and Computer Sciences, Sirjan University of Technology, Sirjan, Iran. | ||
| 2Department of Mathematics, University of Hormozgan, Bandarabbas, Iran. | ||
| چکیده | ||
| It is well known that the categories Fuzz of fuzzes and TopFuzz of topological fuzzes are both complete and cocomplete, and some categorical properties of them were introduced by many authors. In this paper, we introduce the structure of equalizers in these categories. In particular, we show that every regular monomorphism is an injective map, but monomorphisms need not be injective, in general. | ||
| کلیدواژهها | ||
| Fuzz؛ Topological fuzz؛ Molecular lattice؛ Equalizer | ||
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آمار تعداد مشاهده مقاله: 577 تعداد دریافت فایل اصل مقاله: 714 |
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