Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bivariate Kolchin-type dimension polynomials of non-reflexive prime
  difference-differential ideals. The case of one translation   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 polynomial associated with a non-reflexive
difference-differential ideal in the algebra of difference-differential
polynomials with several basic derivations and one translation. In particular,
we obtain a new proof and a method of computation of the dimension polynomial
of a non-reflexive prime difference ideal in the algebra of difference
polynomials over an ordinary difference field. As a consequence, it is shown
that the reflexive closure of a prime difference polynomial ideal is the
inverse image of this ideal under a power of the basic translation. We also
discuss applications of our results to the analysis of systems of algebraic
difference-differential equations.

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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc