{"title":"生成各种smv代数","authors":"A. Nola, T. Flaminio","doi":"10.1109/ISMVL.2010.34","DOIUrl":null,"url":null,"abstract":"In this paper we show that the variety of SMV-algebras is generated by those algebras we call hyper real tensorial SMV-algebras. These are the SMV-algebras that can be defined by an MV-algebra A, and a hyper real state, i.e. a normalized and additive map s* : A → [0, 1]* .","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Generating the Variety of SMV-Algebras\",\"authors\":\"A. Nola, T. Flaminio\",\"doi\":\"10.1109/ISMVL.2010.34\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we show that the variety of SMV-algebras is generated by those algebras we call hyper real tensorial SMV-algebras. These are the SMV-algebras that can be defined by an MV-algebra A, and a hyper real state, i.e. a normalized and additive map s* : A → [0, 1]* .\",\"PeriodicalId\":447743,\"journal\":{\"name\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2010.34\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 40th IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2010.34","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we show that the variety of SMV-algebras is generated by those algebras we call hyper real tensorial SMV-algebras. These are the SMV-algebras that can be defined by an MV-algebra A, and a hyper real state, i.e. a normalized and additive map s* : A → [0, 1]* .
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