{"title":"Transitive and Absorbent Filters of Implicative Almost Distributive Lattices","authors":"Berhanu Assaye Alaba, Mihret Alamneh, Tilahun Mekonnen Munie","doi":"10.12962/J24775401.V4I2.3597","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the concept of transitive and absorbent filters of implicative almost distributive lattices and studied their properties. A necessary and sufficient condition is derived for every filter to become a transitive filter. Some sufficient conditions are also derived for a filter to become a transitive filter. A set of equivalent conditions is obtained for a filter to become an absorbent filter.","PeriodicalId":357596,"journal":{"name":"International Journal of Computing Science and Applied Mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computing Science and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12962/J24775401.V4I2.3597","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
In this paper, we introduce the concept of transitive and absorbent filters of implicative almost distributive lattices and studied their properties. A necessary and sufficient condition is derived for every filter to become a transitive filter. Some sufficient conditions are also derived for a filter to become a transitive filter. A set of equivalent conditions is obtained for a filter to become an absorbent filter.
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