序列概Cohen-Macaulay模的局部上同表

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2024-11-20 DOI:10.1016/j.jalgebra.2024.10.049

Cheng Meng

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引用次数: 0

摘要

设R是一个域上的多项式环。引入序几乎Cohen-Macaulay模的概念，描述了序几乎Cohen-Macaulay有限生成的梯度r模的局部上同调表的锥的极值射线，并描述了3维模的局部上同调表具有非平凡分解的情况。

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Local cohomology tables of sequentially almost Cohen-Macaulay modules

Let R be a polynomial ring over a field. We introduce the concept of sequentially almost Cohen-Macaulay modules and describe the extremal rays of the cone of local cohomology tables of finitely generated graded R-modules which are sequentially almost Cohen-Macaulay, and describe some cases when the local cohomology table of a module of dimension 3 has a nontrivial decomposition.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.