SQUAREFREE VERTEX COVER ALGEBRAS

被引：3

作者：

Bayati, Shamila ^{[1
]}

Rahmati, Farhad ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Tehran 15914, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 04期

关键词：

Cover ideals; Monomial ideals; Squarefree Borel ideals; Vertex Cover algebras; 13A30; 05C65; MONOMIAL IDEALS;

D O I：

10.1080/00927872.2012.744027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce squarefree vertex cover algebras and exhibit a duality for them. We study the question when these algebras are standard graded and when these algebras coincide with the ordinary vertex cover algebras. It is shown that this is the case for simplicial complexes corresponding to principal Borel sets. Moreover, the generators of these algebras are explicitly described.

引用

页码：1518 / 1538

页数：21

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