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Differential Krull dimension in differential polynomial extensions

By Ilya Smirnov

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.Comment: 23 page

Topics: Mathematics - Commutative Algebra, 12H05, 13F05, 13C15
Year: 2011
OAI identifier: oai:arXiv.org:1103.0046
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