fim -模块的边界正则性

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-08-07 DOI:10.1016/j.jalgebra.2025.07.037

Wee Liang Gan , Khoa Ta

引用次数: 0

摘要

设FI是有限集合和内射映射范畴的骨架，FIm是FI的m个副本的积。我们证明了如果一个fim -模是在度数< d >上生成的，并且在度数< r >上相关，那么它的正则性在上面由m、d、r的函数限定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Bounding regularity of FIm-modules

Let FI be a skeleton of the category of finite sets and injective maps, and

{FI}^{m}

the product of m copies of FI. We prove that if an

{FI}^{m}

-module is generated in degree ⩽d and related in degree ⩽r, then its regularity is bounded above by a function of m, d, and r.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.