Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The group invertibility of matrices over B\'ezout domains   Let $R$ be a B\'ezout domain, and let $A,B,C\in R^{n\times n}$ with
$ABA=ACA$. If $AB$ and $CA$ are group invertible, we prove that $AB$ is similar
to $CA$. Moreover, we have $(AB)^{\#}$ is similar to $(CA)^{\#}$. This
generalize the main result of Cao and Li(Group inverses for matrices over a
B\'ezout domain, {\it Electronic J. Linear Algebra}, {\bf 18}(2009), 600--612).

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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an