Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koszulity for skew PBW extensions over fields   Koszul and homogeneous Koszul algebras were defined by Priddy in
\cite{Priddy1970}. There exist some relations between these algebras and the
skew PBW extensions introduced in \cite{LezamaGallego}. In this paper we give
conditions to guarantee that skew PBW extensions over fields are Koszul or
homogeneous Koszul. We also show that a constant skew PBW extension of a field
is a PBW deformation of its homogeneous version.

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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org