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Algebraically and geometrically closed of idempotents | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 10، شماره 3، آذر 2025، صفحه 283-291 اصل مقاله (276.36 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2025.11872.1125 | ||
| نویسنده | ||
| Ali Molkhasi* | ||
| Department of Mathematics, Faculty of Mathematical Sciences, Farhangian University of Tehran, Iran | ||
| تاریخ دریافت: 10 فروردین 1404، تاریخ بازنگری: 19 اردیبهشت 1404، تاریخ پذیرش: 05 تیر 1404 | ||
| چکیده | ||
| Our aim in this article is to study algebraically and geometrically closed structures in a commutative ring with unity R. It is proved that the lattice of idempotents E of R is an algebraically closed lattice. We also show that if E is dense-in-itself, then E* is geometrically closed in Mod(T, A ). Finally, the relationship between an equicharacteristic regular local ring and an algebraically closed residue field is considered. | ||
| کلیدواژه‌ها | ||
| algebraically closed؛ geometrically closed؛ idempotents | ||
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آمار تعداد مشاهده مقاله: 33 تعداد دریافت فایل اصل مقاله: 31 |
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