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https://doi.org/10.1007/BF02764778
| Title: | On a generalization of Albert's theorem | Authors: | Leung, K.H. | Issue Date: | Oct-1990 | Citation: | Leung, K.H. (1990-10). On a generalization of Albert's theorem. Israel Journal of Mathematics 69 (3) : 337-350. ScholarBank@NUS Repository. https://doi.org/10.1007/BF02764778 | Abstract: | It is proved by A. A. Albert that in an ordered division ring, any element algebraic over the center is central. In this paper, we shall investigate the following problem. Let D be an ordered division ring. Suppose every element in D is left algebraic over a maximal subfield K. Does it follow that D=K? We prove that the answers are affirmative in some cases. © 1990 The Weizmann Science Press of Israel. | Source Title: | Israel Journal of Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/103673 | ISSN: | 00212172 | DOI: | 10.1007/BF02764778 |
| Appears in Collections: | Staff Publications |
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