Displaying similar documents to “On Rings with Polynomial Identity xn-x=0”

Super real closed rings

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...

The fourteenth problem of Hilbert for polynomial derivations

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.