NON-ABELIAN CATEGORIES OF COFINITE MODULES

Author
gholamreza pirmohammadi
Payame Noor
Abstract
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
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