Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Core partial order in rings with involution   Let $R$ be a unital ring with involution. We give several characterizations
and properties of core partial order in $R$. In particular, we investigate the
reverse order law $(ab)^{\tiny\textcircled{\tiny\#}} =
b^{\tiny\textcircled{\tiny\#}} a^{\tiny\textcircled{\tiny\#}}$ for two core
invertible elements $a,b\in R$. Some relationships between core partial order
and other partial orders are obtained.

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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
18
The categories of this paper are: econ
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs