{"title":"在co-order下对Γ-semigroups中的Co-filters进行排序","authors":"D. Romano","doi":"10.47743/ANSTIM.2021.00002","DOIUrl":null,"url":null,"abstract":"As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ -semigroups. In our paper (D. A. Romano, Γ -semigroups with apartness. Bull. Allahabad Math. Soc., 34 (2019), no. 1, 71-83), we introduced and analyzed the concept of Γ-semigroups with apartness in the Bishop’s constructive framework. In this paper, as a continuation of the previous one, we introduce and analyze the concept of Γ -semigroups ordered under co-order. In addition, we introduce and analyze the concept of co-filters in such Γ -semigroups.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"11-18"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Co-filters in Γ-semigroups ordered under co-order\",\"authors\":\"D. Romano\",\"doi\":\"10.47743/ANSTIM.2021.00002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ -semigroups. In our paper (D. A. Romano, Γ -semigroups with apartness. Bull. Allahabad Math. Soc., 34 (2019), no. 1, 71-83), we introduced and analyzed the concept of Γ-semigroups with apartness in the Bishop’s constructive framework. In this paper, as a continuation of the previous one, we introduce and analyze the concept of Γ -semigroups ordered under co-order. In addition, we introduce and analyze the concept of co-filters in such Γ -semigroups.\",\"PeriodicalId\":55523,\"journal\":{\"name\":\"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica\",\"volume\":\"67 1\",\"pages\":\"11-18\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47743/ANSTIM.2021.00002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47743/ANSTIM.2021.00002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
As a generalization of a semigroup, Sen, in 1981, introduced the concept of Γ -semigroups. In our paper (D. A. Romano, Γ -semigroups with apartness. Bull. Allahabad Math. Soc., 34 (2019), no. 1, 71-83), we introduced and analyzed the concept of Γ-semigroups with apartness in the Bishop’s constructive framework. In this paper, as a continuation of the previous one, we introduce and analyze the concept of Γ -semigroups ordered under co-order. In addition, we introduce and analyze the concept of co-filters in such Γ -semigroups.
期刊介绍:
This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.