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Reviewed by Lixin Mao References

By Mr (k: E, Mark (-wesl) Lockridge, Sunil K. Chebolu and J. Daniel Christensen

Abstract

The ghost dimension of a ring. (English summary) Proc. Amer. Math. Soc. 137 (2009), no. 6, 1907–1913. The authors introduce the concept of the ghost dimension gh.dim.R of a ring R. They define gh.dim.R to be the longest nontrivial chain of maps in the derived category emanating from a perfect complex such that each map is zero on homology. It is proved that w.dim.R ≤ gh.dim.R with equality if R is coherent or w.dim.R = 1

Topics: 3. Mark Hovey, Keir Lockridge, and Gena Puninski, The generating hypothesis in the derived category of a ring, Math. Z. 256 (2007, no. 4, 789–800. MR2308891 MR2308891 (2008b, 18017
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.3028
Provided by: CiteSeerX
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