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ArticleOriginal scientific text

Title

The field of Nash functions and factorization of polynomials

Authors 1

Affiliations

  1. Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Abstract

The algebraically closed field of Nash functions is introduced. It is shown that this field is an algebraic closure of the field of rational functions in several variables. We give conditions for the irreducibility of polynomials with Nash coefficients, a description of factors of a polynomial over the field of Nash functions and a theorem on continuity of factors.

Keywords

ENG
Nash function, field, decomposition of polynomial

Bibliography

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Annales Polonici Mathematici
1996-1997/65/1
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Pages:
81-94
Main language of publication
English
Received
1995-11-21
Accepted
1996-04-02
Published
1996
Exact and natural sciences