Boffa, Maurice; Michaux, Christian; Point, Françoise; Van Praag, Paul L’élimination linéaire dans les corps. (Linear elimination in skew fields). (French) Zbl 0587.03024 C. R. Acad. Sci., Paris, Sér. I 300, 323-325 (1985). We show that for a skew field the following conditions for equivalent: (i) to be finite dimensional over its centre; (ii) to have 2-linear elimination; (iii) to have linear elimination; (iv) to have elimination of inverses. Cited in 2 ReviewsCited in 1 Document MSC: 03C60 Model-theoretic algebra 12E15 Skew fields, division rings 16Kxx Division rings and semisimple Artin rings 12L12 Model theory of fields PDF BibTeX XML Cite \textit{M. Boffa} et al., C. R. Acad. Sci., Paris, Sér. I 300, 323--325 (1985; Zbl 0587.03024)