Cn algebras with Moisil possibility operators

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Logic Journal of the IGPL 28 (6):1141-1154 (2020)
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Abstract

In this paper, we continue the study of the Łukasiewicz residuation algebras of order $n$ with Moisil possibility operators initiated by Figallo. More precisely, among other things, a method to determine the number of elements of the $MC_n$-algebra with a finite set of free generators is described. Applying this method, we find again the results obtained by Iturrioz and Monteiro and by Figallo for the case of Tarski algebras and $I\varDelta _{3}$-algebras, respectively.

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10.1093/jigpal/jzaa012

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