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

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• ISSN: 1726-3255
• Main Authors: Visweswaran, S., Vadhel, P.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188427
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case / S. Visweswaran, P. Vadhel // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 117–143. — Бібліогр.: 14 назв. — англ.

The rings we consider in this article are commutative with identity 1 ≠ 0 and are not fields. Let R be a ring. We denote the collection of all proper ideals of R by I(R) and the collection I(R) \ {(0)} by I(R)*. Let H(R) be the graph associated with R whose vertex set is I(R)* and distinct vertices...