Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Difference Index of Quasi-Prime Difference Algebraic Systems   This paper is devoted to studying difference indices of quasi-prime
difference algebraic systems. We define the quasi dimension polynomial of a
quasi-prime difference algebraic system. Based on this, we give the definition
of the difference index of a quasi-prime difference algebraic system through a
family of pseudo-Jacobian matrices. Some properties of difference indices are
proved. In particular, an upper bound of difference indices is given. As
applications, an upper bound of the Hilbert-Levin regularity and an upper bound
of orders for difference ideal membership problem are deduced.

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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom