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

• Datum: 2018
• Hauptverfasser: Vadhel, P., Visweswaran, S.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: quasilocal ring; special principal ideal ring; clique number of a graph; planar graph; 13A15; 05C25
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1268
• Назва журналу: 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...