{"title":"格中的$G$补性质","authors":"S. Ebrahimi Atani","doi":"10.21136/mb.2022.0124-20","DOIUrl":null,"url":null,"abstract":"Let L be a lattice with the greatest element 1. Following the concept of generalized small subfilter, we define g-supplemented filters and investigate the basic properties and possible structures of these filters.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"$G$-supplemented property in the lattices\",\"authors\":\"S. Ebrahimi Atani\",\"doi\":\"10.21136/mb.2022.0124-20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let L be a lattice with the greatest element 1. Following the concept of generalized small subfilter, we define g-supplemented filters and investigate the basic properties and possible structures of these filters.\",\"PeriodicalId\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-01-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/mb.2022.0124-20\",\"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":"Mathematica Bohemica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/mb.2022.0124-20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Let L be a lattice with the greatest element 1. Following the concept of generalized small subfilter, we define g-supplemented filters and investigate the basic properties and possible structures of these filters.