In this paper, we continue the study of the Łukasiewicz residuation algebras of order |$n$| with Moisil possibility operators (or |$MC_n$|-algebras) initiated by Figallo (1989, PhD Thesis, Universidad Nacional del Sur). 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 (1966, Rev. Union Mat. Argent., 22, 146) and by Figallo (1990, Rep. Math. Logic, 24, 3–16) for the case of Tarski algebras and |$I\varDelta _{3}$|-algebras, respectively.

中文翻译：

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具有Moisil可能性算子的C ⁿ代数

在本文中，我们继续研究orderukasiewicz阶| $ n $ |的残数。由Figallo（1989，博士学位论文，南苏黎世大学）发起的Moisil可能性算子（或| $ MC_n $ |-代数）组成。更准确地说，是一种确定| $ MC_n $ |元素数的方法。描述了带有有限集合的自由生成器的-代数。应用这种方法，我们再次发现Iturrioz和Monteiro（1966，Rev。Union Mat。Argent。，22，146）和Figallo（1990，Rep。Math。Logic，24，3–16）获得的结果Tarski代数和| $ I \ varDelta _ {3} $ | -代数。