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2009

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Physical Sciences and Mathematics

Georgia Southern University

Gorenstein

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Gorenstein Flat Dimension Of Complexes, Alina Iacob Jan 2009

Gorenstein Flat Dimension Of Complexes, Alina Iacob

Department of Mathematical Sciences Faculty Publications

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.