Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A categorical equivalence for Stonean residuated lattices   Distributive Stonean residuated lattices are closely related to Stone
algebras since their bounded lattice reduct is a Stone algebra. In the present
work we follow the ideas presented by Chen and Gr\"{a}tzer and try to apply
them for the case of Stonean residuated lattices. Given a Stonean residuated
lattice, we consider the triple formed by its Boolean skeleton, its algebra of
dense elements and a connecting map. We define a category whose objects are
these triples and suitably defined morphisms, and prove that we have a
categorical equivalence between this category and that of Stonean residuated
lattices. We compare our results with other works and show some applications of
the equivalence.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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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: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex