On Monomial Golod Ideals

被引：1

作者：

Dao, Hailong ^{[1
]}

De Stefani, Alessandro ^{[2
]}

机构：

[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

[2] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

来源：

ACTA MATHEMATICA VIETNAMICA | 2022年 / 47卷 / 01期

关键词：

Golod rings; Product of ideals; Koszul homology; Koszul cycles; EMBEDDING CODEPTH; LOCAL-RINGS; COMPLEXES; PRODUCTS; PROPERTY; POWERS;

D O I：

10.1007/s40306-020-00390-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study ideal-theoretic conditions for a monomial ideal to be Golod. For ideals in a polynomial ring in three variables, our criteria give a complete characterization. Over such rings, we show that the product of two monomial ideals is Golod.

引用

页码：359 / 367

页数：9

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