{"title":"Exact annihilating-ideal graph of commutative rings","authors":"P. T. Lalchandani","doi":"10.22124/jart.2017.2400","DOIUrl":null,"url":null,"abstract":"The rings considered in this article are commutative rings with identity 1 6= 0. The aim of this article is to define and study the exact annihilating-ideal graph of commutative rings. We discuss the interplay between the ring-theoretic properties of a ring and graph-theoretic properties of exact annihilating-ideal graph of the ring.","PeriodicalId":52302,"journal":{"name":"Journal of Algebra and Related Topics","volume":"5 1","pages":"27-33"},"PeriodicalIF":0.0000,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra and Related Topics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22124/jart.2017.2400","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: 4
Abstract
The rings considered in this article are commutative rings with identity 1 6= 0. The aim of this article is to define and study the exact annihilating-ideal graph of commutative rings. We discuss the interplay between the ring-theoretic properties of a ring and graph-theoretic properties of exact annihilating-ideal graph of the ring.