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arXiv · 2505.15990

Free five-valued Nelson Algebras

Juan Manuel Cornejo·Andrés Gallardo·Luiz F. Monteiro·Ignacio Viglizzo
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Abstract

Five-valued Nelson algebras are those satisfying the condition: $((x\to z)\to y)\to(((y \to x)\to y)\to y)=1$. 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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Juan Manuel Cornejo, Andrés Gallardo, Luiz F. Monteiro, Ignacio Viglizzo. 2025-05-21. Free five-valued Nelson Algebras. https://arxiv.org/abs/2505.15990

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