线图路径理想幂的正则性

IF 0.6 3区数学 Q3 MATHEMATICS

Communications in Algebra Pub Date : 2024-07-01 DOI:10.1080/00927872.2024.2367170

Jiawen Shan, Dancheng Lu

引用次数: 0

摘要

设 I 是具有 n 个顶点的线图 Ln 的 t 路径理想。研究表明，当且仅当 Is 对某些 s≥1（或等价于对所有 s≥1）具有线性商时，Is 才具有线性解析。

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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Regularity of powers of path ideals of line graphs

Let I be the t-path ideal of Ln, the line graph with n-vertices. It is shown that Is has a linear resolution for some s≥1 (or equivalently for all s≥1) if and only if Is has linear quotients for so...

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来源期刊

Communications in Algebra 数学-数学

CiteScore

1.30

自引率

14.30%

发文量

327

审稿时长

9 months

期刊介绍： Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published. Topics Covered Include: -Commutative Algebra -Ring Theory -Module Theory -Non-associative Algebra including Lie algebras, Jordan algebras -Group Theory -Algebraic geometry