Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Morita-equivalence between MV-algebras and abelian $\ell$-groups
  with strong unit   We show that the theory of MV-algebras is Morita-equivalent to that of
abelian $\ell$-groups with strong unit. This generalizes the well-known
equivalence between the categories of set-based models of the two theories
established by D. Mundici in 1986, and allows to transfer properties and
results across them by using the methods of topos theory. We discuss several
applications, including a sheaf-theoretic version of Mundici's equivalence and
a bijective correspondence between the geometric theory extensions of the two
theories.

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The categories of this paper are: q-fin
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex