Multivariable difference dimension polynomials

DOI10.1007/S10958-005-0461-ZzbMath1210.12004OpenAlexW2017298606MaRDI QIDQ1040246

Alexander B. Levin

Publication date: 24 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0461-z

zbMATH Keywords

Hilbert functioncharacteristic setsdifference fieldfinitely generated difference field extensionmultivariable difference dimension polynomialsring of difference operators

Mathematics Subject Classification ID

Difference algebra (12H10)

Related Items (2)

Arbitrariness of the general solution of the partial differential equations and its applications ⋮ Generalized characteristic sets and new multivariate difference dimension polynomials

Cites Work

• Dimension polynomials of extensions of difference fields
• Computations in differential and difference modules
• CHARACTERISTIC POLYNOMIALS OF FILTERED DIFFERENCE MODULES AND OF EXTENSIONS OF DIFFERENCE FIELDS
• COMPUTATION OF DIMENSION POLYNOMIALS
• The notion of dimension in the theory of algebraic differential equations
• Differential Dimension Polynomials and a Fundamental Theorem on Differential Modules
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