Nagel-Schenzel公式的初等证明

Q4 Mathematics

Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI:10.29252/AS.2019.1359

A. Vahidi

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引用次数: 0

摘要

设R是一个非零单位元的交换诺瑟环，a是R的理想，M是一个有限生成的R模，a1，…，一个a -滤波器正则m序列。公式Ha(M) ~ =Hi (a1，…，an) (M)对于所有i < n, Hi - n a(H n (a1，…，an) (M))对于所有i≥n，被称为Nagel-Schenzel公式，它是用滤波正则序列表示局部上同模的一个有用的结果。本文给出了这个公式的初等证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An elementary proof of Nagel-Schenzel formula

Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a finitely generated R–module, and a1, . . . , an an a–filter regular M–sequence. The formula Ha(M) ∼=  H i (a1,...,an) (M) for all i < n, Hi−n a (H n (a1,...,an) (M)) for all i ≥ n, is known as Nagel-Schenzel formula and is a useful result to express the local cohomology modules in terms of filter regular sequences. In this paper, we provide an elementary proof to this formula.

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来源期刊

Algebraic Structures and their Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

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