{"title":"On some properties of Abian's semiring and its zero divisor graphs","authors":"S. Nayeem","doi":"10.22342/JIMS.26.1.776.64-73","DOIUrl":null,"url":null,"abstract":"In this paper, we have studied some properties of Abian's semiring, especially about the supremum of a subset of an Abian's semiring. We have also considered the zero divisor graphs of Abian's semiring and found some properties of those graphs.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"26 1","pages":"64-73"},"PeriodicalIF":0.3000,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Indonesian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22342/JIMS.26.1.776.64-73","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: 1
Abstract
In this paper, we have studied some properties of Abian's semiring, especially about the supremum of a subset of an Abian's semiring. We have also considered the zero divisor graphs of Abian's semiring and found some properties of those graphs.