Differential Krull dimension in differential polynomial extensions
Commutative Algebra
2011-03-02 v1
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.
Cite
@article{arxiv.1103.0046,
title = {Differential Krull dimension in differential polynomial extensions},
author = {Ilya Smirnov},
journal= {arXiv preprint arXiv:1103.0046},
year = {2011}
}
Comments
23 pages