Nash functions over real spectra
Let A be any commutative ring with unit. (From the author's introduction): ``In this note, we shall construct a sheaf of rings over the real spectrum of a which generalizes the common sheaf of Nash functions over an affine Nash set. In the first part we give the basic properties of this sheaf, in the second some basic properties of the geometric case (i.e. Nash functions over Nash sets) and in the last we deduce several kinds of Stellensätze.
scientific article; zbMATH DE number 4171107
scientific article