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arxiv: 1002.1753 · v1 · submitted 2010-02-09 · 🧮 math.AC

Gorenstein flat dimension of complexes

classification 🧮 math.AC
keywords gorensteincomplexescohomologyringsdefinedimensionflatgeneralized
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We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-closed rings. Over Gorenstein rings we introduce a notion of Gorenstein cohomology for complexes; we also define a generalized Tate cohomology for complexes over Gorenstein rings, and we show that there is a close connection between the absolute, the Gorenstein and the generalized Tate cohomology.

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