Some rings are hereditary rings |
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Authors: | Abraham Zaks |
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Affiliation: | (1) Technion-Israel Institute of Technology, Haifa |
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Abstract: | LetR be a bounded Noetherian Prime ring. The Asano-Michler theorem shows thatR is a bounded Dedekind ring if every prime ideal ofR is invertible. We provide a simple proof of the Asano-Michler theorem, and we suggest some possible generalizations. We also prove that if the proper residue rings ofR areQF-rings thenR is a bounded Dedekind ring, and generalize this result toLD-rings. |
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