Published in
American Mathematical Society, Proceedings of the American Mathematical Society, 6(137), p. 1907-1913, 2009
DOI: 10.1090/s0002-9939-09-09672-5
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The ghost dimension of a ring
Journal article published in 2009 by
Mark Hovey,
Keir Lockridge
This paper is made freely available by the publisher.
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Abstract
We introduce the concept of the ghost dimension gh.dim. R R of a ring R R . This is the longest nontrivial chain of maps in the derived category emanating from a perfect complex such that each map is zero on homology. We show that w.dim. R ≤ R≤ gh.dim. R R with equality if R R is coherent or w.dim. R = 1 R=1 .