{"title":"论循环 B 级的滤波器","authors":"Maliwan Phattarachaleekul","doi":"10.29020/nybg.ejpam.v17i1.4977","DOIUrl":null,"url":null,"abstract":"This paper introduces the notion of a B-filter in a B-algebra (X, ∗, 0) and presents characteristics of its properties : for any a ∈ X, the set < a >B= {a k : k ∈ Z} form a B-ideal and B-filter of X. Moreover, this paper shown some properties of exponents on B-algebra.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Filter of Cyclic B-Algebras\",\"authors\":\"Maliwan Phattarachaleekul\",\"doi\":\"10.29020/nybg.ejpam.v17i1.4977\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper introduces the notion of a B-filter in a B-algebra (X, ∗, 0) and presents characteristics of its properties : for any a ∈ X, the set < a >B= {a k : k ∈ Z} form a B-ideal and B-filter of X. Moreover, this paper shown some properties of exponents on B-algebra.\",\"PeriodicalId\":51807,\"journal\":{\"name\":\"European Journal of Pure and Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29020/nybg.ejpam.v17i1.4977\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29020/nybg.ejpam.v17i1.4977","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本文介绍了 B-algebra (X, ∗, 0) 中的 B-filter 概念,并给出了其性质特征:对于任意 a∈ X,集合 < a >B= {a k : k∈ Z} 构成 X 的 B-ideal 和 B-filter。
This paper introduces the notion of a B-filter in a B-algebra (X, ∗, 0) and presents characteristics of its properties : for any a ∈ X, the set < a >B= {a k : k ∈ Z} form a B-ideal and B-filter of X. Moreover, this paper shown some properties of exponents on B-algebra.