Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Reduced archimedean skew power series rings   In this paper, we prove that if $R$ is an Archimedean reduced ring and
satisfy ACC on annihilators, then $R[[x]]$ is also an Archimedean reduced ring.
More generally we prove that if $R$ is a right Archimedean ring satisfying the
\emph{ACC} on annihilators and $\alpha$ is a rigid automorphism of $R$, then
the skew power series ring $R[[x;\alpha ]]$ is right Archimedean reduced ring.
We also provide some examples to justify the assumptions we made to obtain the
required result.

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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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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: adap-org
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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: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci