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Descriptions of radicals of skew polynomial and skew Laurent polynomial rings |
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| Authors: | Chan Yong Hong Nam Kyun Kim |
| Affiliation: | 1. Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 02447, Republic of Korea;2. School of Basic Sciences, Hanbat National University, Daejeon 34158, Republic of Korea |
| Abstract: | In this paper, we first characterize the Levitzki radical of a skew (Laurent) polynomial ring by the prime ideals and skewed prime ideals in the base ring. We next provide formulas for the strongly prime radical and the uniformly strongly prime radical of skew (Laurent) polynomial rings. |
| Keywords: | Primary 16N40 16S36 secondary 16N60 16N80 Skew polynomial ring Skew Laurent polynomial ring Levitzki radical Strongly prime radical Uniformly strongly prime radical |
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