Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $\Sigma$-skew reflexive-nilpotents-property for rings   In this paper, we study the reflexive-nilpotents-property (briefly, RNP) for
Ore extensions of injective type, and more generally, skew PBW extensions. With
this aim, we introduce the notions of $\Sigma$-skew CN rings and $\Sigma$-skew
reflexive (RNP) rings, for $\Sigma$ a finite family of ring endomorphisms of a
ring $R$. Under certain conditions of compatibility, we study the transfer of
the $\Sigma$-skew RNP property from a ring of coefficients to an Ore extension
or skew PBW extension over this ring. We also consider this property for
localizations of these noncommutative rings. Our results extend those
corresponding presented by Bhattacharjee \cite{Bhattacharjee2020}.

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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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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: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: nucl-th