Chi tiết| Tên | On the attached primes and Shifted Localization Principle for local cohomology modules |
| Lĩnh vực | Toán học |
| Tác giả | Tran Nguyen An |
| Nhà xuất bản / Tạp chí | Tập 4 Số 20 Năm 2013 |
| Số hiệu ISSN/ISBN | 1005-3867 (SCIE) |
| Tóm tắt nội dung | |
The author is supported by the Vietnam National Foundation for Science and Technology Development (Nafosted).}}. {Let $(R,\m)$ be a Noetherian local ring and let $M$ be a finitely generated $R$-module. For an integer $i\geq 0$, the Artinian $i$-th local cohomology module $H_{\m}^i(M)$ is said to satisfy {\it the Shifted Localization Principle} if
$$\Att_{R_{\p}} (H_{\p R_{\p}}^{i-\dim R/\p}(M_{\p})) =\{ \q R_{\p} \mid \q \in \Att_R( H_{\m}^{i}(M)), \q\subseteq \p\}\ \text{for all}\ \p \in \Spec(R).$$
In this paper we study the attached primes of $H_{\m}^i(M)$ and give some conditions for $H_{\m}^i(M)$ to satisfy the Shifted Localization Principle.
The author is supported by the Vietnam National Foundation for Science and Technology Development (Nafosted).}}. {Let $(R,\m)$ be a Noetherian local ring and let $M$ be a finitely generated $R$-module. For an integer $i\geq 0$, the Artinian $i$-th local cohomology module $H_{\m}^i(M)$ is said to satisfy {\it the Shifted Localization Principle} if $$\Att_{R_{\p}} (H_{\p R_{\p}}^{i-\dim R/\p}(M_{\p})) =\{ \q R_{\p} \mid \q \in \Att_R( H_{\m}^{i}(M)), \q\subseteq \p\}\ \text{for all}\ \p \in \Spec(R).$$In this paper we study the attached primes of $H_{\m}^i(M)$ and give some conditions for $H_{\m}^i(M)$ to satisfy the Shifted Localization Principle. |
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