DEPTH OF FACTORS OF SQUARE FREE MONOMIAL IDEALS

被引：4

作者：

Popescu, Dorin ^{[1
]}

机构：

[1] Romanian Acad, Simion Stoilow Inst Math, Res Unit 5, Bucharest 014700, Romania

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 06期

关键词：

Monomial ideals; depth; Stanley depth; STANLEY CONJECTURE; BOUNDS;

D O I：

10.1090/S0002-9939-2014-11939-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let I be an ideal of a polynomial algebra over a field generated by r square free monomials of degree d. If r is bigger than (or equal to, if I is not principal) the number of square free monomials of I of degree d + 1, then depth I-S = d. Let J subset of I, J not equal 0 be generated by square free monomials of degree = d + 1. If r is bigger than the number of square free monomials of I\J of degree d + 1 or, more generally, the Stanley depth of I/J is d, then depth I-S/J = d. In particular, Stanley's Conjecture holds in these cases.

引用

页码：1965 / 1972

页数：8

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