{"title":"交换环的完全湮灭-理想图","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":"{\"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}","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}
Exact annihilating-ideal graph of commutative rings
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.