Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Loomis--Sikorski Theorem for $EMV$-algebras   Recently, in [DvZa], we have introduced $EMV$-algebras which resemble
$MV$-algebras but the top element is not guaranteed for them. For
$\sigma$-complete $EMV$-algebras, we prove an analogue of the Loomis--Sikorski
Theorem showing that every $\sigma$-complete $EMV$-algebra is a
$\sigma$-homomorphic image of an $EMV$-tribe of fuzzy sets where all algebraic
operations are defined by points. To prove it, some topological properties of
the state-morphism space and the space of maximal ideals are established.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex