A Remark on Quadratic Spaces over Noncommutative Semilocal Rings.
Bernhard Keller (1988)
Mathematische Zeitschrift
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Displaying similar documents to “Faithfully quadratic rings - a summary of results”
A Remark on Quadratic Spaces over Noncommutative Semilocal Rings.
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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...