SK1 of Azumaya algebras over hensel pairs
classification
🧮 math.RA
keywords
azumayahenselalgebraalgebrascoincidesconstantgroupinvertible
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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).
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