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MV-Algebras as Sheaves of l-groups on Fuzzy Topological Spaces

We introduce the concept of fuzzy sheaf as a natural generalisation of a sheaf over a topological space in the context of fuzzy topologies. Then we prove a representation for a class of MV-algebras in which the representing object is an MV-sheaf of lattice-ordered Abelian groups, namely, a fuzzy sheaf in which the base (fuzzy) topological space is an MV-topological space and the stalks are Abelian $\ell$-groups.

preprint2020arXivOpen access
Luz Victoria De La PavaCiro Russo
math.CTmath.LO
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Luz Victoria De La PavaCiro Russo

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