{"title":"二元代数HNN扩张的一个正规形式","authors":"Chia Zargeh","doi":"10.35834/2023/3501085","DOIUrl":null,"url":null,"abstract":"We introduce an explicit Groebner-Shirshov basis for HNN-extension of dialgebras. On the basis of Composition-Diamond lemma, a normal form for the elements of HNN-extension of digebras will be determined.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2019-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A NORMAL FORM FOR HNN-EXTENSIONS OF DIALGEBRAS\",\"authors\":\"Chia Zargeh\",\"doi\":\"10.35834/2023/3501085\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce an explicit Groebner-Shirshov basis for HNN-extension of dialgebras. On the basis of Composition-Diamond lemma, a normal form for the elements of HNN-extension of digebras will be determined.\",\"PeriodicalId\":42784,\"journal\":{\"name\":\"Missouri Journal of Mathematical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2019-08-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Missouri Journal of Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35834/2023/3501085\",\"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":"Missouri Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35834/2023/3501085","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
We introduce an explicit Groebner-Shirshov basis for HNN-extension of dialgebras. On the basis of Composition-Diamond lemma, a normal form for the elements of HNN-extension of digebras will be determined.
期刊介绍:
Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.