New Classes of Set-theoretic Complete Intersection Monomial Ideals

被引：3

作者：

Pournaki, M. R. ^{[1
,2
]}

Fakhari, S. A. Seyed ^{[2
]}

Yassemi, S. ^{[2
,3
]}

机构：

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

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

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

来源：

COMMUNICATIONS IN ALGEBRA | 2015年 / 43卷 / 09期

关键词：

Arithmetical rank; Lyubeznik resolution; s-Coloring; Set-theoretic complete intersection ideal; Simplicial complex; ARITHMETICAL RANK; EDGE IDEALS; GRAPHS;

D O I：

10.1080/00927872.2014.934462

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a simplicial complex and be an s-coloring of . Biermann and Van Tuyl have introduced the simplicial complex . As a corollary of Theorems 5 and 7 in their 2013 article, we obtain that the Stanley-Reisner ring of over a field is Cohen-Macaulay. In this note, we generalize this corollary by proving that the Stanley-Reisner ideal of over a field is set-theoretic complete intersection. This also generalizes a result of Macchia.

引用

页码：3920 / 3924

页数：5

共 9 条

[1] ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS [J].