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On the CD-filtration of modules with respect to a system of ideals | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 1، مهر 2024، صفحه 127-136 اصل مقاله (305.55 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.24405.1519 | ||
| نویسندگان | ||
| S. O. Faramarzi* 1؛ H. Valadbeigi2 | ||
| 1Department of mathematics, Science faculty, Payeme Noor University, Tehran, Iran | ||
| 2Department of Mathematics, Payame Noor University, Tehran. Iran | ||
| چکیده | ||
| In this paper, we introduce the concept of the cohomological dimension filtration with respect to a system of ideals. In particular, a characterization of cohomological dimension filtration of a module by the associated prime ideals of its factors is established. As a main result, we provide a necessary and sufficient condition for an ascending chain of submodules of an $\mathfrak{R}$ -module $M$ to be the $\mathrm{cd}$-filtration of $M$, with respect to a system of ideals. | ||
| کلیدواژه‌ها | ||
| Associated primes؛ cd-filtration؛ Cohomological dimension؛ system of ideals | ||
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آمار تعداد مشاهده مقاله: 49 تعداد دریافت فایل اصل مقاله: 92 |
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