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This article is cited in 8 scientific papers (total in 8 papers)
Different Definitions of Algebraically Closed Skew Fields
P. S. Kolesnikov
Abstract:
We consider an algebraically closed (in the sense of solvability of arbitrary polynomial equations) skew field constructed by Makar – Limanov. It is shown that every generalized polynomial equation with more than one homogeneous component has a non-zero solution. We also look into P. Cohn's approach to defining algebraically closed non-commutative skew fields and treat some related problems.
Keywords:
algebraically closed skew field, polynomial equation.
Received: 01.11.1999
Citation:
P. S. Kolesnikov, “Different Definitions of Algebraically Closed Skew Fields”, Algebra Logika, 40:4 (2001), 396–414; Algebra and Logic, 40:4 (2001), 219–230
Linking options:
https://www.mathnet.ru/eng/al228 https://www.mathnet.ru/eng/al/v40/i4/p396
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Abstract page: | 263 | Full-text PDF : | 106 | First page: | 1 |
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