{"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":1,"journal":{"name":"Accounts of Chemical Research","volume":"202 ","pages":""},"PeriodicalIF":17.7000,"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\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":\"202 \",\"pages\":\"\"},\"PeriodicalIF\":17.7000,\"publicationDate\":\"2024-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29020/nybg.ejpam.v17i1.4977\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29020/nybg.ejpam.v17i1.4977","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","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.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.