交换环上的w-弱平坦模与w-弱内射模  

w-weak flat and w-weak injective modules over commutative rings

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)

机构地区：[1]四川师范大学数学科学学院,四川成都610066

出　　处：《西北师范大学学报（自然科学版）》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)。

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.

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 

分 类 号：O154.2[理学—数学]