Lie Rings of Derivations of Commutative Rings
| Autor: | Ping-Bao Liao, 廖萍寶 |
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| Rok vydání: | 2009 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 97 Let R be a 2-torsion free commutative ring with involution * and δ a derivation of R. By S we denote the symmetric elements of R and by K we denote the anti-symmetric elements of R. In the part I of this article, we investigate the simplicity and primeness of the Lie rings Sδ and Kδ when δ is symmetric or anti-symmetric and completely generalize the previous results obtainrd by C.R.Jordan and D.A.Jordan in 1978 under the additional condition that R be neotherian. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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