Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



An algebraic proof of a theorem of A. Robinson

Authors: Robert Gilmer and Joe L. Mott
Journal: Proc. Amer. Math. Soc. 29 (1971), 461-466
MSC: Primary 13.93
MathSciNet review: 0279090
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Abstract: A. Robinson has used mathematical logic to obtain a theorem concerning systems of polynomial equations with only finitely many solutions; this paper contains an algebraic proof of Robinson's theorem, based primarily on various equivalent forms of Hilbert's Nullstellensatz.

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Keywords: Hilbert's Nullstellensatz, Gödel's completeness theorem, predicate calculus
Article copyright: © Copyright 1971 American Mathematical Society