A property of non excellent rings.
Ofer Gabber (1996)
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Ofer Gabber (1996)
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John W. Petro (1975)
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Eberhard Becker, Danielle Gondard (1989)
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W. Kucharz, M.A. Buchner (1989)
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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...
Keune, Frans (1996)
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R. Chaudhuri (1976)
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We give a construction for (m,n)-rings of quotients of a semicommutative (m,n)-ring, which generalizes the ones given by Crombez and Timm and by Paunić for the commutative case. We also study various constructions involving reduced rings and rings of quotients and give some functorial interpretations.
James A. Huckaba, Ira J. Papick (1980)
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