TL;DR
This paper explores the structure of prime and maximal spectra in MV-algebras, introduces new constructions of MV-algebras based on these spectra, and advances the understanding of their algebraic properties.
Contribution
It provides new methods for constructing MV-algebras using prime and maximal spectra, enriching the algebraic theory of MV-algebras.
Findings
Construction of several new MV-algebras
Analysis of prime and maximal spectra in MV-algebras
Enhanced understanding of MV-algebra structures
Abstract
In this document we consider the prime and maximal spectra of an MV-algebra with certain natural operations. Several new MV-algebras are constructed in this fashion.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rough Sets and Fuzzy Logic · Fuzzy and Soft Set Theory