Nash functions over real spectra
type: Item
instance of: scholarly article
title: Nash functions over real spectra
zbMATH Open document ID: 0712.14032
DOI: 10.1016/0022-4049(89)90161-8
author: Felipe Cucker
published in: Journal of Pure and Applied Algebra
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 14P20
Mathematics Subject Classification ID: 14P05
Mathematics Subject Classification ID: 58A07
Mathematics Subject Classification ID: 14A05
Mathematics Subject Classification ID: 32C05
zbMATH DE Number: 4171107
zbMATH Keywords: real spectrum
zbMATH Keywords: Nash functions
Wikidata QID: Q57733332
reviewed by: Fabrizio Broglia
MaRDI profile type: Publication
full work available at URL: 0022-4049(89)90161-8
OpenAlex ID: W1982312576
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description: scientific article; zbMATH DE number 4171107