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Abelian crossed products and scalar extensions of central simple algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 179-188 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\mathcal A$ be a central simple algebra over a field $k$ and $G$ a commutative group with $|G|=\deg(\mathcal A)$. We prove that there exists a regular field extension $E/k$ preserving indices of $k$-algebras such that $\mathcal A\otimes_k E$ is a crossed product with the group $G$. Bibl. – 11 titles. 
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S. V. Tikhonov; V. I. Yanchevskii. Abelian crossed products and scalar extensions of central simple algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 17, Tome 356 (2008), pp. 179-188. http://geodesic.mathdoc.fr/item/ZNSL_2008_356_a6/

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