Geodesic
Different Definitions of Algebraically Closed Skew Fields
Algebra i logika, Tome 40 (2001) no. 4, pp. 396-414.

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : polynomial equation. 
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     author = {P. S. Kolesnikov},
     title = {Different {Definitions} of {Algebraically} {Closed} {Skew} {Fields}},
     journal = {Algebra i logika},
     pages = {396--414},
     publisher = {mathdoc},
     volume = {40},
     number = {4},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2001_40_4_a2/}
}
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P. S. Kolesnikov. Different Definitions of Algebraically Closed Skew Fields. Algebra i logika, Tome 40 (2001) no. 4, pp. 396-414. http://geodesic.mathdoc.fr/item/AL_2001_40_4_a2/