Simplicity of noncommutative Dedekind domains
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- by K. R. Goodearl and J. T. Stafford PDF
- Proc. Amer. Math. Soc. 133 (2005), 681-686 Request permission
Abstract:
The following dichotomy is established: A finitely generated, complex Dedekind domain that is not commutative is a simple ring. Weaker versions of this dichotomy are proved for Dedekind prime rings and hereditary noetherian prime rings.References
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Additional Information
- K. R. Goodearl
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106-3080
- MR Author ID: 75245
- Email: goodearl@math.ucsb.edu
- J. T. Stafford
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
- Email: jts@umich.edu
- Received by editor(s): November 6, 2003
- Published electronically: August 24, 2004
- Additional Notes: The research of both authors was partially supported by grants from the National Science Foundation. Some of it was carried out while the authors participated in the Noncommutative Algebra Year (1999-2000) at the Mathematical Sciences Research Institute in Berkeley, and they thank MSRI for its support
- Communicated by: Lance W. Small
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 681-686
- MSC (2000): Primary 16P40, 16E60
- DOI: https://doi.org/10.1090/S0002-9939-04-07574-4
- MathSciNet review: 2113915