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.
作者
李庆
LI Qing(School of Mathematics,Southwest Minzu University,Chengdu 610041,Sichuan,China)
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
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)。
