Algebraic functions on p-rings
A. Iskander (1972)
Colloquium Mathematicae
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A. Iskander (1972)
Colloquium Mathematicae
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S. Saito (1986)
Inventiones mathematicae
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Berenstein, Carlos A., Yger, Alain (1996)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Robert Oliver (1981)
Inventiones mathematicae
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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...
Robert Oliver (1980)
Inventiones mathematicae
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K. Schmidt, L. van den Dries (1984)
Inventiones mathematicae
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D.W. Lewis (1987)
Inventiones mathematicae
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Robert S. Rumely (1986)
Journal für die reine und angewandte Mathematik
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Colas Bardavid (2011)
Banach Center Publications
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In this paper, we give a geometrization and a generalization of a lemma of differential Galois theory, used by Singer and van der Put in their reference book. This geometrization, in addition of giving a nice insight on this result, offers us the opportunity to investigate several points of differential algebra and differential algebraic geometry. We study the class of simple Δ-schemes and prove that they all have a coarse space of leaves. Furthermore, instead of considering schemes...
Ricardo Mané (1985)
Inventiones mathematicae
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