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Article overview
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On graded local cohomology modules defined by a pair of ideals | M. Jahangiri
; Kh. Ahmadi Amoli
; Z. Habibi
; | Date: |
17 Feb 2015 | Abstract: | Let $R = igoplus_{n in mathbb{N}_{0}} R_{n}$ be a standard graded ring,
$M$ be a finite graded $R$-module and $J$ be a homogenous ideal of $R$. In this
paper we study the graded structure of the $i$-th local cohomology module of
$M$ defined by a pair of ideals $(R_{+},J)$, i.e. $H^{i}_{R_{+},J}(M)$. More
precisely, we discuss finiteness property and vanishing of the graded
components $H^{i}_{R_{+},J}(M)_{n}$.
Also, we study the Artinian property and tameness of certain submodules and
quotient modules of $H^{i}_{R_{+},J}(M)$. | Source: | arXiv, 1502.4970 | Services: | Forum | Review | PDF | Favorites |
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