  Let R be an unramified regular local ring of mixed characteristic, D an
Azumaya R-algebra, K the fraction field of R, Nrd the reduced norm homomorphism
for the Azumaya R-algebra D. Let a be a unit in R. It is proved the following:
suppose the equation Nrd=a has a solution over K, then it has a solution over
R.
  Similar results are proved for regular local rings, which are geometrically
regular over a discrete valuation ring of mixed characteristic. These results
extend result proven by A.Sulin and the author in the middle of 90's.
