Generalized characteristic sets and new multivariate difference dimension polynomials

DOI10.1007/s00200-023-00628-0OpenAlexW4388180838MaRDI QIDQ6139278

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Publication date: 18 January 2024

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-023-00628-0

zbMATH Keywords

effective orderdifference polynomialscharacteristic setdimension polynomial

Mathematics Subject Classification ID

Difference algebra (12H10)

Cites Work

• Multivariable difference dimension polynomials
• A new type of difference dimension polynomials
• Gröbner bases with respect to several orderings and multivariable dimension polynomials
• Difference algebra
• CHARACTERISTIC POLYNOMIALS OF INVERSE DIFFERENTIAL MODULES AND SOME PROPERTIES OF INVERSE DIFFERENTIAL DIMENSION
• CHARACTERISTIC POLYNOMIALS OF FILTERED DIFFERENCE MODULES AND OF EXTENSIONS OF DIFFERENCE FIELDS
• Multivariate Dimension Polynomials of Inversive Difference Field Extensions
• The notion of dimension in the theory of algebraic differential equations
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