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Mathematics

Department of Mathematical Sciences Faculty Publications

Series

2009

Flat dimension

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Full-Text Articles in Physical Sciences and Mathematics

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.