%0 Journal Article %T Gorenstein n-余挠模及Gorenstein n-余挠维数<br>Gorenstein n-Cotorsion Modules And Gorenstein n-Cotorsion Dimension %A 黄俊红 张翠萍 %J 华南师范大学学报(自然科学版) %D 2015 %X 设 R 是环,M是左R-模,n是一个固定的非负整数.称M是Gorenstein n-余挠的,如果对任意Gorenstein n-平坦左R-模N,有Ext_{R}^{1}(N,M)=0.本文主要在右n-凝聚环上讨论了Gorenstein n-余挠模及模和环的Gorenstein n-余挠维数的相关性质.<br>: Let R be a ring, M a left R-modules and n a fixed nonnegative integer.~Recall that M is called Gorenstein n-cotorsion if Ext$_{R}^{1}(N,M)=0$ for any Gorenstein~$n$-flat left R-modules $N$.~In this paper,~we discuss the relative properties of Gorenstein n-cotorsion modules and Gorenstein n-cotorsion dimension of modules and rings over right n-coherent rings %U http://journal.scnu.edu.cn:8080/jwk_xbzrb/CN/abstract/abstract3527.shtml