Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Minimal Rings Related to 2-Primal Rings   In a paper on the taxonomy of 2-primal rings, examples of various types of
rings that are related to commutativity such as reduced, symmetric, duo,
reversible and PS~I were given in order to show that the ring class inclusions
were strict. Many of the rings given in the examples were infinite. In this
paper, where possible, examples of minimal finite rings of the various types
are given. Along with the rings in the previous taxonomy, NI, abelian and
reflexive rings are also included.

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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th