Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scalar extensions for algebraic structures of Lukasiewicz logic   In this paper we study the tensor product for MV-algebras, the algebraic
structures of \L ukasiewicz $\infty$-valued logic. Our main results are: the
proof that the tensor product is preserved by the categorical equivalence
between the MV-algebras and abelian lattice-order groups with strong unit and
the proof of the scalar extension property for semisimple MV-algebras. We
explore consequences of this results for various classes of MV-algebras and
lattice-ordered groups enriched with a product operation.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th