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arxiv: math/0611358 · v4 · submitted 2006-11-12 · 🧮 math.AC

Global Gorenstein dimensions

classification 🧮 math.AC
keywords globalgorensteindimensioncommondimensionsequalequalityflat
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In this paper, we prove that the global Gorenstein projective dimension of a ring $R$ is equal to the global Gorenstein injective dimension of $R$, and that the global Gorenstein flat dimension of $R$ is smaller than the common value of the terms of this equality.

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