Volume 10, Issue 4 (2-2025)                   mmr 2025, 10(4): 33-39 | Back to browse issues page

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pirmohammadi G. NON-ABELIAN CATEGORIES OF COFINITE MODULES. mmr 2025; 10 (4) :33-39
URL: http://mmr.khu.ac.ir/article-1-3371-en.html
NON-ABELIAN CATEGORIES OF COFINITE MODULES
Gholamreza Pirmohammadi *
Payame Noor , gh_pirmohammadi@pnu.ac.ir
Abstract:   (197 Views)
Suppose that (R, m) is a Noetherian complete local ring of dimension d ≥ 4. Let 2 ≤ k ≤ d−2 be an integer and assume that a1,…,ak is a part of a system of parameters for R. In this paper, it is shown that the category of all (a1,…,ak )R-cofinite modules is not an Abelian category.
Keywords: cofinite module, local cohomology, Noetherian complete local ring, system of parameters.
Full-Text [PDF 650 kb]   (145 Downloads)    
Type of Study: Original Manuscript | Subject: alg
Received: 2024/02/17 | Revised: 2025/03/16 | Accepted: 2024/08/20 | Published: 2025/02/28 | ePublished: 2025/02/28
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