Chi tiết| Tên | Asymptotic stability of certain sets of associated prime ideals of local cohomology modules (SCI) |
| Lĩnh vực | Toán học |
| Tác giả | Nguyen Tu Cuong, Nguyen Van Hoang, Pham Huu Khanh |
| Nhà xuất bản / Tạp chí | Communications in Algebra (SCI) Tập 38 Năm 2010 |
| Số hiệu ISSN/ISBN | ISSN: 0092-7872 |
| Tóm tắt nội dung | |
Let R be a Noetherian local ring I, J two ideals of R and M a finitely generated R-module. Let k ≥ −1 and r_k = \depth_k(I,J^nM/J^{n+1}M) be the length of a maximal J^nM/J^{n+1}M-sequence in dimension > k in I defined by Brodmann and Nhan. It is first shown that r_k becomes independent of n for large n. Then we prove in
this article that the sets \Union_{j≤r_k}\Ass_R(H^j_I(J^nM/J^{n+1}M) with k = −1 or k = 0, and
\Union_{j≤r_1}\Ass_R(H^j_I(J^nM/J^{n+1}M) ∪\{m\} are stable for large n. We also obtain similar results for modules M/J^nM.
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