EFFECTIVE COWSIK-NORI THEOREM FOR EDGE IDEALS

被引：6

作者：

Crupi, Marilena ^{[2
]}

Rinaldo, Giancarlo ^{[2
]}

Terai, Naoki ^{[3
]}

Yoshida, Ken-ichi ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

[2] Univ Messina, Dipartimento Matemat, Messina, Italy

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

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 09期

关键词：

Cohen-Macaulay; Complete intersection; Edge ideal; Polarization; Simplicial complex; Symbolic powers; STANLEY-REISNER IDEALS; COMPLETE INTERSECTIONS; RINGS; POWERS;

D O I：

10.1080/00927870903114995

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R = K[x(1), ... x(n)] be a polynomial ring over a field K. Let I = I (G) subset of R be the edge ideal of a graph G. We show that I is complete intersection if R/I-l is Cohen-Macaulay for some l >= height I. This strengthens the Cowsik-Nori theorem in the case of edge ideals.

引用

页码：3347 / 3357

页数：11

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