摘要
设R是一个环,且n≥1是整数.作为Gorenstein FP-投射模的推广,引入并研究了Gorenstein FPn-投射模,刻画了该模类的一些基本性质,并证明了Gorenstein FPn-投射模类是投射可解的,进而讨论了该模类的稳定性.
Let R be a ring and n≥1 be an integer.As a generalization of Gorenstein FP-projective modules,Gorenstein FPn-projective modules have been introduced and investigated in this paper.After discussing some basic homological properties of Gorenstein FPn-projective modules,it is proved that the class of Gorenstein FPn-projective modules is projectively resolving.Finally,the stability of Gorenstein FPn-projective modules has also been discussed.
作者
张健芳
高增辉
ZHANG Jian-fang;GAO Zeng-hui(School of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China)
出处
《西南师范大学学报(自然科学版)》
CAS
北大核心
2020年第8期12-17,共6页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11971225)。