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on the cd-filtration of modules with respect to a system of ideals
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نویسنده
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faramarzi s. o. ,valadbeigi h.
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منبع
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journal of algebra and related topics - 2024 - دوره : 12 - شماره : 1 - صفحه:127 -136
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چکیده
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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.
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کلیدواژه
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associated primes ,cd-filtration ,cohomological dimension ,system of ideals
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آدرس
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payeme noor university, department of mathematics, iran, payame noor university, department of mathematics, iran
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پست الکترونیکی
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hadis.valadbeigi@gmail.com
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Authors
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