Free five-valued Nelson Algebras
Juan Manuel Cornejo, Andr\'es Gallardo, Luiz F. Monteiro, and Ignacio Viglizzo
TL;DR
This paper characterizes five-valued Nelson algebras, providing alternative definitions and analyzing the structure and size of their free algebras with finitely many generators.
Contribution
It introduces alternative equations for five-valued Nelson algebras and determines the structure and element count of their finite free algebras.
Findings
Alternative equations for five-valued Nelson algebras
Structural analysis of free five-valued Nelson algebras
Determination of the number of elements in finite free algebras
Abstract
Five-valued Nelson algebras are those satisfying the condition: . We give alternative equations defining these algebras, and determine the structure and number of elements of the free five-valued Nelson algebra with a finite number of free generators.
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Taxonomy
TopicsAdvanced Algebra and Logic · Advanced Topics in Algebra · Fuzzy and Soft Set Theory