SK1 of Azumaya algebras over Hensel Pairs, by R. Hazrat

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.

R. Hazrat <>