When is the complement of the comaximal graph of a commutative ring planar?
type: Item
instance of: scholarly article
title: When is the complement of the comaximal graph of a commutative ring planar?
zbMATH Open document ID: 1290.13005
DOI: 10.1155/2014/736043
author: S. Visweswaran
author: Jaydeep Parejiya
published in: ISRN Algebra
publication date: 2014-06-16T00:00:00Z
review text: Summary: Let \(R\) be a commutative ring with identity. In this paper we classify rings \(R\) such that the complement of comaximal graph of \(R\) is planar. We also consider the subgraph of the complement of comaximal graph of \(R\) induced on the set \(S\) of all nonunits of \(R\) with the property that each element of \(S\) is not in the Jacobson radical of \(R\) and classify rings \(R\) such that this subgraph is planar.
Mathematics Subject Classification ID: 13A15
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 6304841
Wikidata QID: Q59049032
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/736043
OpenAlex ID: W2029138278
cites work: A note on graphical representation of rings
cites work: Comaximal graph of commutative rings
cites work: When is the Comaximal Graph Split?
cites work: ON THE STRUCTURE OF COMAXIMAL GRAPHS OF COMMUTATIVE RINGS WITH IDENTITY
cites work: CO-MAXIMAL IDEAL GRAPHS OF COMMUTATIVE RINGS
cites work: Maximal graph of a commutative ring
cites work: A textbook of graph theory
cites work: Q4770975
cites work: Rings of order \(p^5\). I: Nonlocal rings
cites work: Planar zero-divisor graphs
description: scientific article; zbMATH DE number 6304841