Gorenstein n-余挠模及Gorenstein n-余挠维数

在右n-凝聚环上研究Gorenstein n-余挠模的相关性质,证明了在右n-凝聚环上Gorenstein n-平坦模的Gorenstein n-余挠包络是Gorenstein n-平坦模,Gorenstein n-余挠模的Gorenstein n-平坦覆盖是Gorenstein n-余挠模;将n-余挠模的相关性质推广到Gorenstein n-余挠模上;在右n-凝聚环上讨论模和环的Gorenstein n-余挠维数的相关性质,给出了右n-凝聚环的左Gorenstein n-余挠整体维数与其他同调维数之间的一些等价刻画.

Gorenstein n-Cotorsion Modules and Gorenstein n-Cotorsion Dimension

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.