{"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}
引用次数: 0
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.
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.