Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation

DOI10.1016/j.jsc.2019.10.014zbMath1456.12004arXiv1909.08957OpenAlexW2980651649MaRDI QIDQ2200305

Alexander B. Levin

Publication date: 19 September 2020

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08957

zbMATH Keywords

reductioncharacteristic setdifference-differential polynomialdimension polynomialreflexive closure

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Differential algebra (12H05) Difference algebra (12H10)

Related Items (1)

A new type of difference dimension polynomials

Cites Work

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• CHARACTERISTIC POLYNOMIALS OF FILTERED DIFFERENCE MODULES AND OF EXTENSIONS OF DIFFERENCE FIELDS
• Finite basis for radical well-mixed difference ideals generated by binomials
• Bivariate Dimension Polynomials of Non-Reflexive Prime Difference-Differential Ideals.
• On the Ascending Chain Condition for Mixed Difference Ideals
• The notion of dimension in the theory of algebraic differential equations
• A Difference-Differential Basis Theorem

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