On squarefree powers of simplicial trees

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2026-05-01 Epub Date: 2026-01-19 DOI:10.1016/j.jalgebra.2026.01.008

Elshani Kamberi, Francesco Navarra, Ayesha Asloob Qureshi

引用次数: 0

Abstract

In this article, we study the squarefree powers of facet ideals associated with simplicial trees. Specifically, we examine the linearity of their minimal free resolution and their regularity. Additionally, we investigate when the first syzygy module of squarefree powers of facet ideal of a simplicial tree is generated by linear relations. Finally, we provide a combinatorial formula for the regularity of the squarefree powers of t-path ideals of path graphs.

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关于简单树的无平方幂

在本文中，我们研究了与简单树相关的面理想的无平方幂。具体地说，我们研究了它们的最小自由分辨率的线性和它们的规律性。此外，我们还研究了简单树的面理想的无平方幂的第一个合模是什么时候由线性关系产生的。最后，我们给出了路径图的t路径理想的无平方幂的正则性的组合公式。

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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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.