Projective covers over local rings

被引：2

作者：

Ercolanoni, Sofia ^{[1
]}

Facchini, Alberto ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, I-35121 Padua, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2021年 / 200卷 / 06期

关键词：

Projective cover; Local ring; Minimal set of generators; WEAKLY BASED MODULES;

D O I：

10.1007/s10231-021-01095-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the structure of the projective cover of a module M-R over a local ring R and its relation with minimal sets of generators of M-R. The behaviour of local right perfect rings is completely different from the behaviour of local rings that are not right perfect.

引用

页码：2631 / 2644

页数：14