R. Hazrat: SK1 of Azumaya algebras over Hensel Pairs


Submission: 2008, Jan 16

Let A be an Azumaya algebra of constant rank n over a Hensel pair (R,I) where R is a semilocal ring with n invertible in R. Then the reduced Whitehead group SK1(A) coincides with its reduction SK1(A/IA). This generalizes the result of the author to non-local Henselian rings.

2000 Mathematics Subject Classification:

Keywords and Phrases:

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