摘要
设R是Gorenstein正则环,给出了所有R-模具有Gorenstein投射覆盖的充要条件.作为应用,给出交换Gorenstein遗传环是Gorenstein Artin代数的新的同调刻画.
Let R be a Gorenstein regular ring,some sufficient and necessary conditions that all R-modules have a Gorenstein projective cover are given.As applications,a homological characterization that a commutative Gorenstein hereditary ring is a Gorenstein Artin algebra is given.
作者
张豫冈
曹天涯
ZHANG Yu-gang;CAO Tian-ya(Department of Basic Subjects,Lanzhou Institute of Technology,Lanzhou 730050,Gansu,China;College of Computer Science and Engineering,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2023年第5期35-38,52,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(12161049)
甘肃省自然科学基金资助项目(21JR1RA229)。
