{"title":"IMP-Filters of R0-Algebras","authors":"Yong-lin Liu, Mei-ying Ren","doi":"10.1109/CIS.2010.158","DOIUrl":null,"url":null,"abstract":"The notion of implication $MP$-filters (briefly, $IMP$-filters) in $R_0$-algebras is introduced. The characteristic properties and extension property of $IMP$-filters are obtained. The relations among $IMP$-filters, $PIMP$-filters and $NMP$-filters of $R_0$-algebras are established. Finally, the implicative $R_0$-algebra is completely described by its $IMP$-filters.","PeriodicalId":420515,"journal":{"name":"2010 International Conference on Computational Intelligence and Security","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Computational Intelligence and Security","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIS.2010.158","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The notion of implication $MP$-filters (briefly, $IMP$-filters) in $R_0$-algebras is introduced. The characteristic properties and extension property of $IMP$-filters are obtained. The relations among $IMP$-filters, $PIMP$-filters and $NMP$-filters of $R_0$-algebras are established. Finally, the implicative $R_0$-algebra is completely described by its $IMP$-filters.