SK1 of Azumaya algebras over hensel pairs

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Let A be an Azumaya algebra of constant rank n^2 over a Hensel pair (R,I) where R is a semilocal ring with n invertible in R. Then the reduced Whitehead group SK(A) coincides with its reduction SK(A/IA).
7 pages

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Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/213012

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.3443
 http://arxiv.org/abs/0812.3443

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arXiv