Gorenstein n-余挠模及Gorenstein n-余挠维数

Gorenstein n-Cotorsion Modules And Gorenstein n-Cotorsion Dimension

摘要: 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.

Abstract: 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.