Prime Filters in an MV-algebra
Colin G. Bailey
TL;DR
This paper explores the structure of prime filters in MV-algebras, establishing connections between prime lattice filters and prime implication filters through the analysis of their prime spectrum.
Contribution
It introduces a detailed analysis of prime spectra in MV-algebras and links different classes of prime filters, providing new insights into their relationships.
Findings
Connections established between prime lattice filters and prime implication filters
Characterization of the prime spectrum of MV-algebras
New structural insights into prime filters in MV-algebras
Abstract
In this document we consider the prime spectrum of an MV-algebra with certain natural operations. These are used to show connections between the classes of prime lattice filters and prime implication filters.
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Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory