GENERALIZED FORMAL LOCAL COHOMOLOGY MODULES | ||
| Journal of Algebraic Systems | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 193-209 اصل مقاله (173.56 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.11630.1591 | ||
| نویسندگان | ||
| Shahram Rezaei* ؛ Fatemeh Lashkari | ||
| Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395- 4697, Tehran, Iran. | ||
| چکیده | ||
| Let $a$ be an ideal of a local ring $(R, m)$ and $M$ and $N$ two finitely generated $R$-modules. In this paper, we introduce the concept of generalized formal local cohomology modules. We define $i$-th generalized formal local cohomology module of $M$ and $N$ with respect to $a$ by $\mathfrak{F}_{a}^i(M,N) := \underset{n}{\varprojlim}H_m^i(M,N/{a}^{n}N )$ for $i\geq 0$. We prove several results concerning vanishing and finiteness properties of these modules. | ||
| کلیدواژهها | ||
| formal local cohomology؛ local cohomology؛ Generalized | ||
| مراجع | ||
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