Bivariate dimension quasi-polynomials of difference-differential field extensions with weighted basic operators

DOI10.1007/s11786-018-0361-5zbMath1456.12002OpenAlexW2847598253MaRDI QIDQ2319452

Alexander B. Levin

Publication date: 19 August 2019

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-018-0361-5

zbMATH Keywords

reductioncharacteristic setautoreduced setdifference-differential ringdimension quasi-polynomial

Mathematics Subject Classification ID

Differential algebra (12H05) General theory of difference equations (39A05) Difference algebra (12H10)

Cites Work

• Computing the Ehrhart polynomial of a convex lattice polytope
• Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials
• Computation of Hilbert polynomials in two variables
• Difference dimension quasi-polynomials
• Difference algebra
• A notion of Krull dimension for differential rings
• Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions
• CHARACTERISTIC POLYNOMIALS OF FILTERED DIFFERENCE MODULES AND OF EXTENSIONS OF DIFFERENCE FIELDS
• Unique continuation of solutions of differential equations with weighted derivatives
• Computing the Ehrhart quasi-polynomial of a rational simplex
• The notion of dimension in the theory of algebraic differential equations
• Partial quasianalyticity of distribution solutions of weakly nonlinear differential equations with weights assigned to derivatives
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