Bounds in the theory of polynomial rings over fields. A nonstandard approach.
K. Schmidt, L. van den Dries (1984)
Inventiones mathematicae
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K. Schmidt, L. van den Dries (1984)
Inventiones mathematicae
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Veldsman, Stefan (2009)
Beiträge zur Algebra und Geometrie
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Marcus Tressl (2007)
Fundamenta Mathematicae
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A super real closed ring is a commutative ring equipped with the operation of all continuous functions ℝⁿ → ℝ. Examples are rings of continuous functions and super real fields attached to z-prime ideals in the sense of Dales and Woodin. We prove that super real closed rings which are fields are an elementary class of real closed fields which carry all o-minimal expansions of the real field in a natural way. The main part of the paper develops the commutative algebra of super real closed...
Victoria Powers (1988)
Mathematische Zeitschrift
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Michael G. Voskoglou (1994)
Publications de l'Institut Mathématique
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Veldsman, S. (2000)
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James A. Huckaba, Ira J. Papick (1980)
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David A. Jordan (1993)
Mathematische Zeitschrift
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N. Mohan Kumar (1978)
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Wilberd van der Kallen (1986)
Mathematische Zeitschrift
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Andrzej Nowicki (2002)
Banach Center Publications
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We present some facts, observations and remarks concerning the problem of finiteness of the rings of constants for derivations of polynomial rings over a commutative ring k containing the field ℚ of rational numbers.
T. Asanuma (1987)
Inventiones mathematicae
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