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Division algebras of degree 4 and 8 with involution. (English) Zbl 0415.16017


MSC:

16Kxx Division rings and semisimple Artin rings
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
16P10 Finite rings and finite-dimensional associative algebras
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References:

[1] A. Adrian Albert, Structure of algebras, Revised printing. American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961.
[2] S. A. Amitsur and D. Saltman, Generic Abelian crossed products and \?-algebras, J. Algebra 51 (1978), no. 1, 76 – 87. · Zbl 0391.13001 · doi:10.1016/0021-8693(78)90136-9
[3] Louis Halle Rowen, Central simple algebras, Israel J. Math. 29 (1978), no. 2-3, 285 – 301. · Zbl 0392.16011 · doi:10.1007/BF02762016
[4] Jean-Pierre Tignol, Sur les classes de similitude de corps à involution de degré 8, C. R. Acad. Sci. Paris Sér. A-B 286 (1978), no. 20, A875 – A876 (French, with English summary). · Zbl 0374.16006
[5] J. Tignol, Décomposition et descente de produits tensoriels d’algebres de quaternions, Rap. Sém. Math. Puré UCL 76 (1978). · Zbl 0444.16010
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