Lower bounds for Betti numbers of monomial ideals

被引：5

作者：

Boocher, Adam ^{[1
]}

Seiner, James ^{[2
]}

机构：

[1] Univ Utah, Salt Lake City, UT 84112 USA

[2] Univ Michigan, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF ALGEBRA | 2018年 / 508卷

基金：

美国国家科学基金会;

关键词：

Commutative algebra; Betti numbers; Monomial ideals; Buchsbaum-Eisenbud-Horrocks rank; conjecture; FREE RESOLUTIONS; FINITE-LENGTH; MODULES;

D O I：

10.1016/j.jalgebra.2018.04.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let I be a monomial ideal of height c in a polynomial ring S over a field k. If I is not generated by a regular sequence, then we show that the sum of the betti numbers of S/I is at least 2(c) + 2(c-1) and characterize when equality holds. Lower bounds for the individual betti numbers are given as well. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：445 / 460

页数：16

共 13 条

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