Betti-linear ideals

被引：1

作者：

Wood, Daniel ^{[1
]}

机构：

[1] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2019年 / 223卷 / 04期

关键词：

GRADED MODULES; RESOLUTIONS; NUMBERS; LATTICE;

D O I：

10.1016/j.jpaa.2018.07.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of a Betti-linear monomial ideal, which generalizes the notion of lattice-linear monomial ideal introduced by Clark. We provide a characterization of Betti-linearity in terms of Tchernev's poset construction. As an application we obtain an explicit canonical construction for the minimal free resolutions of monomial ideals having pure resolutions. (C) 2018 Elsevier B.V. All rights reserved.

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收藏

页码：1753 / 1765

页数：13

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