Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case

• Date: 2019
• Main Authors: Visweswaran, S., Vadhel, P.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: quasilocal ring; local Artinian ring; special principal ideal ring; planar graphPlanar graph; Clique number of a graph; Quasilocal ring; Special principal ideal ring; 13A15; 05C25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/39
• Journal Title: Algebra and Discrete Mathematics

The rings we consider in this article are commutative with identity \(1\neq 0\) and 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 \(\mathbb{I}(R)^{*}\). Let \(H(R)\) be the gra...