Gorenstein flat dimension of complexes

Alina Iacob

doi:10.1215/kjm/1265899484

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Home > Journals > J. Math. Kyoto Univ. > Volume 49 > Issue 4 > Article

2009 Gorenstein flat dimension of complexes

Alina Iacob

J. Math. Kyoto Univ. 49(4): 817-842 (2009). DOI: 10.1215/kjm/1265899484

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Abstract

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.