By Markus Rost, with an appendix by J.-P. Tignol (6 pages)
C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 3, 185-190.
Let A be a skew field of degree 3 over a field containing the cube roots of unity. We prove a sort of chain equivalence for Kummer elements in A. As a consequence one obtains a common slot lemma for presentations of A as a cyclic algebra.
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Notes by J.-P. Tignol, June 1996 (2 pages)
With the kind permission of Jean-Pierre Tignol these notes have been included into the article The chain lemma for Kummer elements of degree 3 as an appendix. Nevertheless we still like to keep an extra copy of his text.
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by M. Rost (Notes, January 2005, 4 pages)
In these notes we consider chains of length 3 in algebras of degree 3.
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