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Gorenstein n-Cotorsion Modules And Gorenstein n-Cotorsion DimensionJ. Journal of South China Normal University (Natural Science Edition), 2015, 47(6): 111-115.
Citation: Gorenstein n-Cotorsion Modules And Gorenstein n-Cotorsion DimensionJ. Journal of South China Normal University (Natural Science Edition), 2015, 47(6): 111-115.
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Gorenstein n-Cotorsion Modules And Gorenstein n-Cotorsion Dimension

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  • 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.
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