CHARACTERISTIC POLYNOMIALS OF FILTERED DIFFERENCE MODULES AND OF EXTENSIONS OF DIFFERENCE FIELDS

DOI10.1070/RM1978v033n03ABEH002480zbMath0465.12011MaRDI QIDQ3916665

Alexander B. Levin

Publication date: 1978

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

difference operatorArtinian difference ringextensions of difference fieldsfiltered difference modules

Mathematics Subject Classification ID

Modules of differentials (13N05) Difference algebra (12H10)

Related Items (17)

Difference dimension quasi-polynomials ⋮ Dimension polynomials of difference local algebras ⋮ Generalized characteristic sets and new multivariate difference dimension polynomials ⋮ Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation ⋮ Gröbner bases with respect to several orderings and multivariable dimension polynomials ⋮ Computation of Hilbert polynomials in two variables ⋮ Computing difference-differential dimension polynomials by relative Gröbner bases in difference-differential modules ⋮ On the set of Hilbert polynomials ⋮ Gröbner bases in difference-differential modules and difference-differential dimension polynomials ⋮ Bivariate dimension quasi-polynomials of difference-differential field extensions with weighted basic operators ⋮ Multivariable difference dimension polynomials ⋮ Dimension polynomials and the Einstein's strength of some systems of quasi-linear algebraic difference equations ⋮ Multivariate difference-differential dimension polynomials ⋮ Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials ⋮ Modules ⋮ Hilbert-Type Dimension Polynomials of Intermediate Difference-Differential Field Extensions ⋮ A new type of difference dimension polynomials

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