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This article is cited in 9 scientific papers (total in 9 papers)
The Makar-Limanov algebraically closed skew field
P. S. Kolesnikov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We re-prove the Makar-Limanov theorem on the existence of an algebraically closed skew field in the sense of there being a solution for any (generalized) polynomial equation. A new example of such a skew field is presented in which the Makar-Limanov construction is contained as a skew subfield. Our reasoning is underpinned by the main ideas of the original proof, but we employ a simpler argument for proving that the skew field constructed is algebraically closed.
Received: 16.10.1999 Revised: 24.03.2000
Citation:
P. S. Kolesnikov, “The Makar-Limanov algebraically closed skew field”, Algebra Logika, 39:6 (2000), 662–692; Algebra and Logic, 39:6 (2000), 378–395
Linking options:
https://www.mathnet.ru/eng/al247 https://www.mathnet.ru/eng/al/v39/i6/p662
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Abstract page: | 326 | Full-text PDF : | 138 | First page: | 1 |
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