GORENSTEIN n-WEAK INJECTIVE AND GORENSTEIN n-WEAK FLAT MODULES UNDER EXCELLENT EXTENSIONS

Let R be an associative ring and let n be a non-negative integer. In this paper, we consider n-super finitely presented, Gorenstein n-weak injective and Gorenstein n-weak flat modules under change of rings. For an excellent extension S ≥ R, we show that the Gorenstein n-super finitely presented dimensions (resp., weak Gorenstein n-super finitely presented dimensions) of rings R and S coincide.