Radicals in skew polynomial and skew Laurent polynomial rings |
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| Authors: | Chan Yong Hong Nam Kyun Kim Pace P. Nielsen |
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| Affiliation: | 1. Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 131-701, Republic of Korea;2. Faculty of Liberal Arts and Sciences, Hanbat National University, Daejeon 305-719, Republic of Korea;3. Department of Mathematics, Brigham Young University, Provo, UT 84602, United States |
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| Abstract: | ![]()
We provide a general procedure for characterizing radical-like functions of skew polynomial and skew Laurent polynomial rings under grading hypotheses. In particular, we are able to completely characterize the Wedderburn and Levitzki radicals of skew polynomial and skew Laurent polynomial rings in terms of ideals in the coefficient ring. We also introduce the T-nilpotent radideals, and perform similar characterizations. |
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| Keywords: | Primary, 16N40, 16S36 secondary, 16N60, 16N80 |
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