Publication status: J. Algebra 256
(2002), no. 2, 556-567.
Abstract:
We prove that two-sided tilting complexes, and dualizing complexes,
over simple Goldie rings (with some technical conditions) are always
shifts of invertible bimodules. This allows us to describe the derived
Picard
groups of such rings, and to deduce these are Gorenstein (and sometimes
even Auslander-Gorenstein Cohen-Macaulay) rings.
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updated 11 Aug 2004