Gorenstein flat dimension of complexes

Details Gorenstein flat dimension of complexes Gorenstein flat dimension of complexes

2010-02-09

arxiv.org/abs/1002.1753v1

Mathematics

Commutative Algebra

to appear in J. Math. Kyoto Univ

Scientific paper

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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