Some remarks on one-sided regularity |
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| Authors: | Tai Keun Kwak Yang Lee Young Joo Seo |
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| Affiliation: | 1. Department of Mathematics, Daejin University, Pocheon 11159, Korea2. Institute of Basic Science, Daejin University, Pocheon 11159, Korea3. Department of Mathematics, Hanyang University, Seoul 04763, Korea |
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| Abstract: | A ring is said to be right (resp., left) regular-duo if every right (resp., left) regular element is regular. The structure of one-sided regular elements is studied in various kinds of rings, especially, upper triangular matrix rings over one-sided Ore domains. We study the structure of (one-sided) regular-duo rings, and the relations between one-sided regular-duo rings and related ring theoretic properties. |
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| Keywords: | right (left) regular element right (left) regular-duo ring upper triangular matrix ring right (left) Ore domain |
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