{"title":"交换环的理想图结构","authors":"M. I. Jinnah, Shine C. Mathew","doi":"10.56754/0719-0646.2402.0333","DOIUrl":null,"url":null,"abstract":"We introduce a graph structure \\(\\Gamma^{\\ast}_2(R)\\) for commutative rings with unity. We study some of the properties of the graph \\(\\Gamma^{\\ast}_2(R)\\). Also we study some parameters of \\(\\Gamma^{\\ast}_2(R)\\) and find rings for which \\(\\Gamma^{\\ast}_2(R)\\) is split.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ideal based graph structures for commutative rings\",\"authors\":\"M. I. Jinnah, Shine C. Mathew\",\"doi\":\"10.56754/0719-0646.2402.0333\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce a graph structure \\\\(\\\\Gamma^{\\\\ast}_2(R)\\\\) for commutative rings with unity. We study some of the properties of the graph \\\\(\\\\Gamma^{\\\\ast}_2(R)\\\\). Also we study some parameters of \\\\(\\\\Gamma^{\\\\ast}_2(R)\\\\) and find rings for which \\\\(\\\\Gamma^{\\\\ast}_2(R)\\\\) is split.\",\"PeriodicalId\":36416,\"journal\":{\"name\":\"Cubo\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cubo\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56754/0719-0646.2402.0333\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cubo","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56754/0719-0646.2402.0333","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Ideal based graph structures for commutative rings
We introduce a graph structure \(\Gamma^{\ast}_2(R)\) for commutative rings with unity. We study some of the properties of the graph \(\Gamma^{\ast}_2(R)\). Also we study some parameters of \(\Gamma^{\ast}_2(R)\) and find rings for which \(\Gamma^{\ast}_2(R)\) is split.
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