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math.AC2019
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…
math.AC2019
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…
math.AC2019
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…