Differential Krull dimension in differential polynomial extensions

Details Differential Krull dimension in differential polynomial extensions Differential Krull dimension in differential polynomial extensions

2011-02-28

arxiv.org/abs/1103.0046v1

Mathematics

Commutative Algebra

23 pages

Scientific paper

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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