Gorenstein n-Cotorsion Modules And Gorenstein n-Cotorsion Dimension
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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.
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关键词:
- Gorenstein n-余挠维数
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 Ext1R(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.-
Keywords:
- Gorenstein n-cotorsion dimension
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