Gorenstein Flat Dimension of Complexes

Alina Iacob

doi:10.1215/kjm/1265899484

Gorenstein Flat Dimension of Complexes

Alina Iacob

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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.

Original language	American English
Journal	Journal of Mathematics of Kyoto University
Volume	49
DOIs	https://doi.org/10.1215/kjm/1265899484
State	Published - Jan 1 2009

Keywords

Complexes
Flat dimension
Gorenstein

DC Disciplines

Education
Mathematics

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AB - 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.

KW - Complexes

KW - Flat dimension

KW - Gorenstein

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/57

U2 - 10.1215/kjm/1265899484

DO - 10.1215/kjm/1265899484

M3 - Article

VL - 49

JO - Journal of Mathematics of Kyoto University

JF - Journal of Mathematics of Kyoto University

ER -

Gorenstein Flat Dimension of Complexes

Abstract

Keywords

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