{"title":"The Abelian Group in Mapping Perspective","authors":"Yuansheng Gao","doi":"10.25236/ajms.2023.040205","DOIUrl":null,"url":null,"abstract":": The Abelian group, also known as the exchange group, is a class of groups which satisfy the exchange law. This paper reviews Abelian groups from the perspective of mappings and gives sufficient and necessary conditions for a group to be an Abelian group under several special mappings","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"192 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Academic Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25236/ajms.2023.040205","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
: The Abelian group, also known as the exchange group, is a class of groups which satisfy the exchange law. This paper reviews Abelian groups from the perspective of mappings and gives sufficient and necessary conditions for a group to be an Abelian group under several special mappings
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