摘要
引进了有限型模与w-凝聚环的概念,进行了相关刻划.还证明了R是w-Noether环当且仅当每个有限型模是有限表现型的.由此得到w-Neother环是w-凝聚环.
In this paper we introduce the notions of finitely presented type modules and w-coherent rings and make a general discussion on them.We show that a ring R is w-Noetherian if and only if every finite type module is of finitely presented type.Then we get that w-Noetherian rings are w-coherent.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第1期1-9,共9页
Journal of Sichuan Normal University（Natural Science）
基金
supported by the National Natural Science Foundation of China (10671137)
the Research Foundation for Doctor Programme of Educational Department of China(20060636001)~~
