Tìm kiếm theo cụm từ
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.

Tải file On the attached primes and Shifted Localization Principle for local cohomology modules tại đây

Đính kèm: