Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on (De)homogenized Gr\"obner Bases   By employing the (de)homogenization technique in a relatively extensive
setting, this note studies in detail the relation between non-homogeneous
Gr\"obner bases and homogeneous Gr\"obner bases. As a consequence, a general
principle of computing Gr\"obner bases (for an ideal and its homogenization
ideal) by passing to homogenized generators is clarified systematically. The
obtained results improve and strengthen the work of [LWZ], [Li1], [Li2], [Li3],
and very recent [SL] concerning the same topic.

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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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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: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg