{"title":"关于Riesz空间中滤波器的阶收敛性","authors":"S. Kadhim, Shaimaa Abdul-Hussein Kadhim","doi":"10.32894/kujss.2020.15.2.2","DOIUrl":null,"url":null,"abstract":"The main purpose of this paper, is study the ideas of orderConvergence of filters in a Riesz spaces and that is through prove an important theorems related to the some properties Riesz spaces. So we established that the intersection and union all subsets of the collection of all proper filters F(M) were converge to point in Riesz space it's the same convergence point the filter there exist in these subsets and proved that order-convergence for intersection (union) two filters to intersection (union) two different points in Riesz space is equivalent to the set consist of two convergence points we could write it by using these filters .","PeriodicalId":34247,"journal":{"name":"mjl@ jm`@ krkwk ldrst l`lmy@","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Order - Convergence of Filters in a Riesz Spaces\",\"authors\":\"S. Kadhim, Shaimaa Abdul-Hussein Kadhim\",\"doi\":\"10.32894/kujss.2020.15.2.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main purpose of this paper, is study the ideas of orderConvergence of filters in a Riesz spaces and that is through prove an important theorems related to the some properties Riesz spaces. So we established that the intersection and union all subsets of the collection of all proper filters F(M) were converge to point in Riesz space it's the same convergence point the filter there exist in these subsets and proved that order-convergence for intersection (union) two filters to intersection (union) two different points in Riesz space is equivalent to the set consist of two convergence points we could write it by using these filters .\",\"PeriodicalId\":34247,\"journal\":{\"name\":\"mjl@ jm`@ krkwk ldrst l`lmy@\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"mjl@ jm`@ krkwk ldrst l`lmy@\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32894/kujss.2020.15.2.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"mjl@ jm`@ krkwk ldrst l`lmy@","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32894/kujss.2020.15.2.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Order - Convergence of Filters in a Riesz Spaces
The main purpose of this paper, is study the ideas of orderConvergence of filters in a Riesz spaces and that is through prove an important theorems related to the some properties Riesz spaces. So we established that the intersection and union all subsets of the collection of all proper filters F(M) were converge to point in Riesz space it's the same convergence point the filter there exist in these subsets and proved that order-convergence for intersection (union) two filters to intersection (union) two different points in Riesz space is equivalent to the set consist of two convergence points we could write it by using these filters .