{"title":"具有Moisil可能性算子的Cn代数","authors":"A. Figallo, G. Pelaitay, J. Sarmiento","doi":"10.1093/jigpal/jzaa012","DOIUrl":null,"url":null,"abstract":"\n 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.","PeriodicalId":304915,"journal":{"name":"Log. J. IGPL","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Cn algebras with Moisil possibility operators\",\"authors\":\"A. Figallo, G. Pelaitay, J. Sarmiento\",\"doi\":\"10.1093/jigpal/jzaa012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n 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.\",\"PeriodicalId\":304915,\"journal\":{\"name\":\"Log. J. IGPL\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Log. J. IGPL\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/jigpal/jzaa012\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Log. J. IGPL","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/jigpal/jzaa012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
摘要
本文继续研究了Figallo(1989，博士论文，国立南方大学)提出的具有Moisil可能性算子的$n$阶Łukasiewicz残馀代数(或$MC_n$-代数)。更准确地说，在其他方面，一种方法来确定$MC_n$-代数的元素的数量与有限的一组自由生成器描述。应用这种方法，我们再次发现Iturrioz和Monteiro (1966, Rev. Union Mat. Argent)的结果。菲加洛(1990年，马萨诸塞州众议员)。关于Tarski代数和$I\varDelta _{3}$-代数的情形，逻辑学报，24,3 - 16)。
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.
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