SK1 of Azumaya algebras over hensel pairs

Details SK1 of Azumaya algebras over hensel pairs SK1 of Azumaya algebras over hensel pairs

2008-12-18

arxiv.org/abs/0812.3443v1

Mathematics

Rings and Algebras

7 pages

Scientific paper

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).

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