Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I, nonquasilocal case

• Date: 2018
• Main Authors: Vadhel, P., Visweswaran, S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: quasilocal ring; special principal ideal ring; clique number of a graph; planar graph; 13A15; 05C25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1268
• Journal Title: Algebra and Discrete Mathematics

The rings considered in this article are nonzero  commutative with identity which are not fields.  Let \(R\) be a ring.  We denote the collection of all proper ideals of \(R\) by \(\mathbb{I}(R)\) and  the collection \(\mathbb{I}(R)\setminus \{(0)\}\) by \(\mathbb{I}(R)^{*}\). Recall that the inters...