交换环上的绝对w-E-纯模  

Absolutely w-E-pure modules over commutative rings

作　　者：李庆 LI Qing(School of Mathematics,Southwest Minzu University,Chengdu 610041,Sichuan,China)

机构地区：[1]西南民族大学数学学院,四川成都610041

出　　处：《云南大学学报（自然科学版）》2022年第4期655-662,共8页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11401493);西南民族大学中央高校基本科研业务费专项资金(2019NYB21)。

摘　　要：引入了w-E-纯正合列和绝对w-E-纯模,证明了绝对w-E-纯模分别在w-E-纯子模和扩张之下均是封闭的.说明了在某种意义上绝对w-E-纯模可看成是w-余纯平坦模的对偶.最后,通过绝对w-E-纯模刻画了w-IF环.w-E-pure exact sequences and absolutely w-E-pure modules are introduced and studied.We obtain that the class of absolutely w-E-pure modules are closed under w-E-pure submodules and extensions,respectively.It indicates that in some sense absolutely w-E-pure modules can be seen as the dual of w-copure flat modules.Finally,w-IFrings are characterized in terms of absolutely a w-E-pure modules.

关 键 词：w-纯正合列 绝对w-纯模 w-余纯平坦模 w-IF环 

分 类 号：O153.3[理学—数学] O154.2[理学—基础数学]