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

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2018
• Hauptverfasser: Vadhel, P., Visweswaran, S.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188380
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I, nonquasilocal case / P. Vadhel, S. Visweswaran // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 130–143. — Бібліогр.: 19 назв. — англ.

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 I(R) and the collection I(R)\{(0)} by I(R)*. Recall that the intersection graph of ideals of R, denoted by G(R), is an undirected g...