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Simplicity of noncommutative Dedekind domains |
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| Authors: | K. R. Goodearl J. T. Stafford |
| Affiliation: | Department of Mathematics, University of California, Santa Barbara, California 93106-3080 ; Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109 |
| 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. |
| Keywords: | Dedekind domain simple ring invertible ideal HNP ring |
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