{"title":"ON CO-FILTERS OF IMPLICATIVE SEMIGROUPS WITH APARTNESS","authors":"D. Romano","doi":"10.17114/j.aua.2019.59.04","DOIUrl":null,"url":null,"abstract":"The setting of this research is the Bishop’s constructive mathematics a mathematics based on the Intuitionistic Logic and principled-philosophical orientation of Bishop’s mathematics. Implicative semigroups with apartness introduced and analyzed by this author in his two recently published articles. In this paper, as a continuation of the research [26, 27], a description of co-filters was made in an implicative semigroup with apartness using one class of special subsets of such semi-group. 2010 Mathematics Subject Classification: 03F65, 20M12, 06F05, 06A06, 06A12.","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Universitatis Apulensis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17114/j.aua.2019.59.04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The setting of this research is the Bishop’s constructive mathematics a mathematics based on the Intuitionistic Logic and principled-philosophical orientation of Bishop’s mathematics. Implicative semigroups with apartness introduced and analyzed by this author in his two recently published articles. In this paper, as a continuation of the research [26, 27], a description of co-filters was made in an implicative semigroup with apartness using one class of special subsets of such semi-group. 2010 Mathematics Subject Classification: 03F65, 20M12, 06F05, 06A06, 06A12.