The chain lemma for Kummer elements of degree 3

Authors
Citation
M. Rost, The chain lemma for Kummer elements of degree 3, CR AC S I, 328(3), 1999, pp. 185-190
Citations number
1
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
3
Year of publication
1999
Pages
185 - 190
Database
ISI
SICI code
0764-4442(199902)328:3<185:TCLFKE>2.0.ZU;2-F
Abstract
Let A be a skew field of degree 3 over a field containing the 3(rd) roots o f 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 c yclic algebra. (C) Academie des Sciences/Elsevier, Paris.