The field of Nash functions and factorization of polynomials

• Autorzy: Stanisław Spodzieja
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Nash function; field; decomposition of polynomial

Kategorie tematyczne

• 12F99: None of the above, but in this section
• 12D99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 1
• Strony: 81-94

Daty

wydano

1996

otrzymano

1995-11-21

poprawiono

1996-04-02

Twórcy

autor

Stanisław Spodzieja

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

Bibliografia

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