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arXiv · 1909.10855

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

Luz Victoria De La Pava·Ciro Russo
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Abstract

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.

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BibTeXRIS

Luz Victoria De La Pava, Ciro Russo. 2019-09-24. MV-Algebras as Sheaves of l-groups on Fuzzy Topological Spaces. https://doi.org/10.1007/s00500-020-04944-2

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