Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morphic and principal-ideal group rings   We observe that the class of left and right artinian left and right morphic
rings agrees with the class of artinian principal ideal rings. For $R$ an
artinian principal ideal ring and $G$ a group, we characterize when $RG$ is a
principal ideal ring; for finite groups $G$, this characterizes when $RG$ is a
left and right morphic ring. This extends work of Passman, Sehgal and Fisher in
the case when $R$ is a field, and work of Chen, Li, and Zhou on morphic group
rings.

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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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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: q-alg