摘要
利用交换环上的w-模理论对弱平坦模和弱内射模进行w-模化研究.引入了交换环上的w-弱平坦模与w-弱内射模的概念,并讨论了它们的一些基本性质;研究了仅由超有限表现模定义的环的w-超有限表现维数.
The w-module theoretic analogue of weak flat modules and w-weak injective modules is discussed in terms of module theory over commutative rings.The concepts of w-weak flat modules and w-weak injective modules over commutative rings are introduced,and several general properties of these modules are also discussed.In addition,the w-super finitely presented dimension of a commutative ring is studied,which is defined in terms of only super finitely presented modules.
作者
宋菲菲
乔磊
夏伟恒
SONG Fei-fei;QIAO Lei;XIA Wei-heng(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,Sichuan,China)
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2022年第5期17-24,共8页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(11701398)。
关键词
超有限表现模
w-弱平坦模
w-弱内射模
w-超有限表现维数
super finitely presented module
w-weak flat module
w-weak injective module
w-super finitely presented dimension
