Abelian crossed products and scalar extensions of central simple algebras

Abelian crossed products and scalar extensions of central simple algebras

Let be a central simple algebra over a field k and G be a commutative group with . It is proved that there exists a regular field extension E/k preserving indices of k-algebras such that is a crossed product with the group G. Bibliography: 11 titles.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2009-02, Vol.156 (6), p.954-959
Hauptverfasser: Tikhonov, S. V., Yanchevskii, V. I.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:Let be a central simple algebra over a field k and G be a commutative group with . It is proved that there exists a regular field extension E/k preserving indices of k-algebras such that is a crossed product with the group G. Bibliography: 11 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-009-9301-x