Article
Gorenstein Flat Dimension of Complexes
Journal of Mathematics of Kyoto University
Document Type
Article
Publication Date
1-1-2009
DOI
10.1215/kjm/1265899484
Disciplines
- Education and
- Mathematics
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.
Citation Information
Alina Iacob. "Gorenstein Flat Dimension of Complexes" Journal of Mathematics of Kyoto University Vol. 49 Iss. 4 (2009) p. 817 - 842 ISSN: 2154-3321 Available at: http://works.bepress.com/alina_iacob/20/
This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the author must have permission to distribute the work or the work must be available under the Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration. The publisher's final edited version of this article is available at Journal of Mathematics of Kyoto University.