Specializations of Ferrers ideals

被引：24

作者：

Corso, Alberto ^{[1
]}

Nagel, Uwe ^{[1
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2008年 / 28卷 / 03期

关键词：

Ferrers graphs; threshold graphs; monomial (edge) ideals; cellular minimal free resolution;

D O I：

10.1007/s10801-007-0111-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a specialization technique in order to study monomial ideals that are generated in degree two by using our earlier results about Ferrers ideals. It allows us to describe explicitly a cellular minimal free resolution of various ideals including any strongly stable and any squarefree strongly stable ideal whose minimal generators have degree two. In particular, this shows that threshold graphs can be obtained as specializations of Ferrers graphs, which explains their similar properties.

引用

页码：425 / 437

页数：13

共 12 条

[1] Squarefree lexsegment ideals [J].