Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reversible AJW-algebras   In this article it is proved that for every special AJW-algebra $A$ there
exist central projections $e$, $f$, $g\in A$, $e+f+g=1$ such that (1) $eA$ is
reversible and there exists a norm-closed two sided ideal $I$ of $C^*(eA)$ such
that $eA={{}^\perp}(^\perp(I_{sa})_+)_+$; (2) $fA$ is reversible and
$R^*(fA)\cap iR^*(fA)=\{0\}$; (3) $gA$ is a totally nonreversible AJW-algebra.

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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: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: atom-ph