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.
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页码：1965 / 1972
页数：8
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