Some homological properties of Borel type ideals

被引：3

作者：

Herzog, Jurgen ^{[1
]}

Moradi, Somayeh ^{[2
,5
]}

Rahimbeigi, Masoomeh ^{[3
]}

Zhu, Guangjun ^{[4
]}

机构：

[1] Univ Duisburg Essen, Fak Math, Essen, Germany

[2] Ilam Univ, Sch Sci, Dept Math, Ilam, Iran

[3] Univ Kurdistan, Dept Math, Sanandaj, Iran

[4] Soochow Univ, Sch Math Sci, Suzhou, Peoples R China

[5] Ilam Univ, Sch Sci, Dept Math, POB 69315-516, Ilam, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 04期

关键词：

Analytic spread; homological shift ideal; k-Borel ideal; linear quotient; multiplicity; t-spread Veronese ideal; Primary; Secondary; BETTI NUMBERS; RESOLUTIONS; POWERS;

D O I：

10.1080/00927872.2022.2137521

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study ideals of Borel type, including k-Borel ideals and t-spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity and the analytic spread of equigenerated squarefree principal Borel ideals are computed. For the multiplicity, the result is given under an additional assumption which is always satisfied for squarefree principal Borel ideals. These results are used to analyze the behavior of height, multiplicity and analytic spread of the homological shift ideals HSj(I) as functions of j, when I is an equigenerated squarefree Borel ideal.

引用

页码：1517 / 1531

页数：15

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