Depth of powers of edge ideals of Cohen-Macaulay trees

IF 0.6 3区数学 Q3 MATHEMATICS

Communications in Algebra Pub Date : 2024-06-18 DOI:10.1080/00927872.2024.2363948

Hang Thu Nguyen, Hien Thi Truong, Thanh Vu

引用次数: 0

Abstract

Let I be the edge ideal of a Cohen-Macaulay tree of dimension d over a polynomial ring S=k[x1,…,xd,y1,…,yd]. We prove that for all t≥1, depth(S/It)=max{d−t+1,1}.

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科恩-麦考莱树边缘理想的幂深度

设 I 是多项式环 S=k[x1,...,xd,y1,...,yd] 上维数为 d 的科恩-麦考莱树的边理想。我们证明，对于所有 t≥1，depth(S/It)=max{d-t+1,1}。

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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