R-Gorenstein内射模的忠实平坦余基变换  

R-Gorenstein Injective Modules with Faithfuly Flat Co-Base Changes

作　　者：李玲 梁力 LI Ling;LIANG Li(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院

出　　处：《吉首大学学报（自然科学版）》2019年第6期6-8,共3页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(11761045,11561039);甘肃省自然科学基金资助项目(18JR3RA113,17JR5RA091)

摘　　要：探究了R-Gorenstein内射模的忠实平坦余基变换.设R是交换环,S是忠实平坦R-代数,在一些额外的条件下,证明了R-模N是R-Gorenstein内射模,当且仅当N是强余挠R-模且Hom R(S,N)是R′-Gorenstein内射S-模.R-Gorenstein injective modules with faithfully flat co-base changes are investigated in the paper.Let R be a commutative ring and S be a faithfully flat R-algebra.It is proved,with some extra assumptions,that an R-module N is R-Gorenstein injective if and only if N is strongly cotorsion and Hom R(S,N)is a R′-Gorenstein injective S-module.

关 键 词：忠实平坦余基变换 R-Gorenstein内射模 强余挠模 

分 类 号：O154.2[理学—数学]