{"title":"On Quantum-MV Algebras - Part I: The Orthomodular Algebras","authors":"A. Iorgulescu","doi":"10.7561/SACS.2021.2.163","DOIUrl":null,"url":null,"abstract":"We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of MV algebras. We make the connection with IMTL and NM algebras. In memoriam Dragos. Vaida (1933 – 2020)","PeriodicalId":394919,"journal":{"name":"Sci. Ann. Comput. Sci.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sci. Ann. Comput. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7561/SACS.2021.2.163","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of MV algebras. We make the connection with IMTL and NM algebras. In memoriam Dragos. Vaida (1933 – 2020)
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