1 citations · 1 across the 8 of their papers we have counts for
10 papers
Hilbert-type dimension polynomials of intermediate difference-differential field extensions
Alexander Levin
Let be an inversive difference-differential field and a (not necessarily inversive) finitely generated difference-differential field extension of . We consider the natur…
Dimension Polynomials and the Einstein's Strength of Some Systems of Quasi-linear Algebraic Difference Equations
Alexander Evgrafov, Alexander Levin
In this paper we present a method of characteristic sets for inversive difference polynomials and apply it to the analysis of systems of quasi-linear algebraic difference equations…
Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation
Alexander Levin
We use the method of characteristic sets with respect to two term orderings to prove the existence and obtain a method of computation of a bivariate Kolchin-type dimension polynomi…
Evaluation of the Einstein's strength of difference schemes for some chemical reaction-diffusion equations
Alexander Evgrafov, Alexander Levin
In this paper we present a difference algebraic technique for the evaluation of the Einstein's strength of a system of partial difference equations and apply this technique to the…
Difference Dimension Quasi-polynomials
Alexander Levin
We consider Hilbert-type functions associated with difference (not necessarily inversive) field extensions and systems of algebraic difference equations in the case when the transl…
Multivariate Difference-Differential Dimension Polynomials and New Invariants of Difference-Differential Field Extensions
Alexander Levin
In this paper we introduce a method of characteristic sets with respect to several term orderings for difference-differential polynomials. Using this technique, we obtain a method…