Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Relation Between Pommaret and Janet Bases   In this paper the relation between Pommaret and Janet bases of polynomial
ideals is studied. It is proved that if an ideal has a finite Pommaret basis
then the latter is a minimal Janet basis. An improved version of the related
algorithm for computation of Janet bases, initially designed by Zharkov, is
described. For an ideal with a finite Pommaret basis, the algorithm computes
this basis. Otherwise, the algorithm computes a Janet basis which need not be
minimal. The obtained results are generalized to linear differential ideals.

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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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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: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol