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arXiv · 1103.0046

Differential Krull dimension in differential polynomial extensions

Ilya Smirnov
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Abstract

We investigate the differential Krull dimension of differential polynomials over a differential ring. We prove a differential analogue of Jaffard's Special Chain Theorem and show that differential polynomial extensions of certain classes of differential rings have no anomaly of differential Krull dimension.

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Ilya Smirnov. 2011-02-28. Differential Krull dimension in differential polynomial extensions. https://arxiv.org/abs/1103.0046

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