COHEN-MACAULAYNESS AND LIMIT BEHAVIOR OF DEPTH FOR POWERS OF COVER IDEALS

被引：9

作者：

Constantinescu, A. ^{[1
]}

Pournaki, M. R. ^{[2
,3
]}

Fakhari, S. A. Seyed ^{[3
]}

Terai, N. ^{[4
]}

Yassemi, S. ^{[3
,5
]}

机构：

[1] Univ Genoa, Dept Math, Genoa, Italy

[2] Sharif Univ Technol, Dept Math Sci, Tehran, Iran

[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[4] Saga Univ, Fac Culture & Educ, Dept Math, Saga 840, Japan

[5] Univ Tehran, Sch Math Stat & Comp Sci, Coll Sci, Tehran, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2015年 / 43卷 / 01期

关键词：

Bracket power; Cohen Macaulay module; Cover ideal; Depth of a module; Symbolic power; MONOMIAL IDEALS; COMPLETE INTERSECTIONS; SYMBOLIC POWERS; VERTEX COVERS; REES-ALGEBRAS;

D O I：

10.1080/00927872.2014.897550

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a field, and let R = K[x(1), ..., x(n)] be the polynomial ring over K in n indeterminates x(1), ... , x(n). Let G be a graph with vertex-set {x(1), ..., x(n)}, and let J be the cover ideal of G in R. For a given positive integer k, we denote the kth symbolic power and the kth bracket power of J by J((k)) and J([k]), respectively. In this paper, we give necessary and sufficient conditions for R/J(k), R/J((k)), and R/J([k]) to be Cohen-Macaulay. We also study the limit behavior of the depths of these rings.

引用

页码：143 / 157

页数：15

共 35 条

[1] COMPLETE INTERSECTIONS IN LOCAL RINGS [J].