Rings which admit elimination of quantifiers

The aim of this paper is to provide an addendum to a paper by Rose with the same title which has appeared in an earlier issue of this Journal [2]. Our new result is: Theorem. A ring of characteristic zero which admits elimination of quantifiers in the language {0, 1, +, ·} is an algebraically closed...

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Veröffentlicht in:	The Journal of symbolic logic 1981-03, Vol.46 (1), p.56-58
1. Verfasser:	Berline, Chantal
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Integers Logical theorems Mathematical rings Mathematical theorems Polynomials
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description	The aim of this paper is to provide an addendum to a paper by Rose with the same title which has appeared in an earlier issue of this Journal [2]. Our new result is: Theorem. A ring of characteristic zero which admits elimination of quantifiers in the language {0, 1, +, ·} is an algebraically closed field.
doi_str_mv	10.2307/2273256
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ispartof	The Journal of symbolic logic, 1981-03, Vol.46 (1), p.56-58
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source	Jstor Complete Legacy; Periodicals Index Online; JSTOR Mathematics & Statistics
subjects	Algebra Integers Logical theorems Mathematical rings Mathematical theorems Polynomials
title	Rings which admit elimination of quantifiers
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