English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We use the method of characteristic sets with respect to two term orderingsto prove the existence and obtain a method of computation of a bivariateKolchin-type dimension polynomial associated with a non-reflexivedifference-differential ideal in the algebra of difference-differentialpolynomials with several basic derivations and one translation. In particular,we obtain a new proof and a method of computation of the dimension polynomialof a non-reflexive prime difference ideal in the algebra of differencepolynomials over an ordinary difference field. As a consequence, it is shownthat the reflexive closure of a prime difference polynomial ideal is theinverse image of this ideal under a power of the basic translation. We alsodiscuss applications of our results to the analysis of systems of algebraicdifference-differential equations.

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