A Localization in MV-algebras
Colin G. Bailey

TL;DR
This paper explores a method for localizing MV-algebras by constructing local variants that preserve the structure of prime filters comparable to a given prime filter.
Contribution
It introduces a novel approach to localizing MV-algebras based on prime filters, expanding the understanding of their structural properties.
Findings
Established a construction for local MV-algebras from prime filters.
Showed the local MV-algebra shares the same prime filter poset as the original.
Provided insights into the structural relationships within MV-algebras.
Abstract
In this document we consider a way of localizing an MV-algebra. Given any prime filter we find a local MV-algebra which has the same poset of prime filters as the poset of prime filters comparable to .
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Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Rough Sets and Fuzzy Logic
