Differential Krull dimension in differential polynomial extensions

2011/02/28 by Ilya Smirnov, Smirnov, Ilya
Mathematics · #12H05 #13C15 #13F05 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:12H05 #msc:13C15 #msc:13F05

paper · pdf · doi:10.48550/arxiv.1103.0046

23 pages

arxiv created 2011/02/28 · arxiv updated 2011/03/02

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.

Related

• The Differential Dimension Polynomial for Characterizable Differential Ideals
• Krull Dimension for Differential Graded Algebras
• Hilbert-type dimension polynomials of intermediate difference-differential field extensions
• Estimates for the coefficients of differential dimension polynomials
• Some dimensions of DG polynomial algebras