Products of ideals may not be Golod

被引：12
作者：
De Stefani, Alessandro [1 ]
机构：
[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 06期
关键词：
SYMBOLIC POWERS; PROPERTY; SERIES;
D O I：
10.1016/j.jpaa.2015.11.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We exhibit an example of a product of two proper monomial ideals such that the residue class ring is not Golod. We also discuss the strongly Golod property for rational powers of monomial ideals, and introduce some sufficient conditions for weak Golodness of monomial ideals. Along the way, we ask some related questions. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：2289 / 2306
页数：18
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