期刊论文详细信息
Journal of Mathematics and Statistics | |
A Kind of Intersection Graphs on Ideals of a Ring | Science Publications | |
A. A. Talebi1  | |
关键词: Graphs related; intersection graph; integers modulo; algebraic structure; distinct vertices; intersection graphs; obtain conditions; | |
DOI : 10.3844/jmssp.2012.82.84 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: Science Publications | |
【 摘 要 】
Problem statement: Let R be a ring. The graph G(R) is the graph whose vertices are nontrivial ideal of R and in which two vertices u, v are joined by an edge, if and only if u ∩ v #{0}. Approach: In this study we study some properties of G(R). Results: We obtain conditions of R such that G(R) is a path and determine the graph G(R) in which it is a tree. Conclusion: We conclude that ideals of R have degree one.
【 授权许可】
Unknown
【 预 览 】
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RO201912010160585ZK.pdf | 33KB | download |