{"title":"r0 -代数的imp -过滤器","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":"{\"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}","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}
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.
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