Pre-balanced dualizing complexes |
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| Authors: | D. Chan Q. S. Wu J. J. Zhang |
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| Affiliation: | (1) Department of Mathematics, University of Michigan, 48109 Ann Arbor, MI, USA;(2) Institute of Mathematics, Fudan University, 200433 Shanghai, China;(3) Department of Mathematics, University of Washington, Box 354350, 98195 Seattle, WA, USA |
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| Abstract: | We study pre-balanced dualizing complexes over noncommutative complete semilocal algebras and prove an analogue of Van den Bergh’s theorem [VdB, 6.3]. The relationship between pre-balanced dualizing complexes and Morita dualities is studied. Some immediate applications to classical ring theory are also given. |
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