On Linear Quotients of Squarefree Monomial Ideals

被引：0

作者：

Manouchehri, Erfan ^{[1
]}

Jahan, Ali Soleyman ^{[1
]}

机构：

[1] Univ Kurdistan, Dept Math, POB 66177-15175, Sanandaj, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 02期

关键词：

Linear syzygies; Linear resolution; Linear quotients; Variable-decomposable;

D O I：

10.1007/s40840-019-00737-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let I subset of K[x(1),..., x(n)] be a squarefree monomial ideal generated in one degree. Let G(I) be the graph whose nodes are the generators of I, and two vertices u(i) and u(j) are adjacent if there exist variables x, y such that xu(i) = yu(j). We show that if I is (i) G(I) is a connected graph; (ii) I has a (n - 2)-linear resolution; (iii) I has linear quotients; (iv) I is a variable-decomposable ideal. We also prove that if I has linear relations and (G(I)) over bar is chordal, then I has linear quotients.

引用

页码：1213 / 1221

页数：9