一般形式局部上同模

IF 0.3 Q4 MATHEMATICS, APPLIED Algebra & Discrete Mathematics Pub Date : 2020-01-01 DOI:10.12958/ADM1068

S. Rezaei

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引用次数: 0

摘要

设(R,m)是一个局部环，Φ是R的理想系统，m是一个有限生成的R模。本文定义并研究了一般形式局部上同模。用FiΦ(M)表示关于Φ的第i个一般形式局部上同模M，研究了一般形式局部上同模的有限性和无穷性。

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General formal local cohomology modules

Let (R,m) be a local ring, Φ a system of ideals of R and M a finitely generated R-module. In this paper, we define and study general formal local cohomology modules. We denote the ith general formal local cohomology module M with respect to Φ by FiΦ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules.

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