When Is the Complement of the Comaximal Graph of a Commutative Ring Planar?. (6th April 2014)

• Record Type: Journal Article
• Authors: Visweswaran, S.; Parejiya, Jaydeep
• Other Names: Anderson D. F. Academic Editor.; Bakalov B. Academic Editor.; Zimmermann A. Academic Editor.
• Is Part Of: ISRN algebra. Volume 2014(2014)
• Publication Date: 2014-04-06
• Subjects: Algebra -- Periodicals; Algebra; Periodicals; Electronic journals; 512
• DOI: 10.1155/2014/736043
• Languages: English
• ISSNs: 2090-6285

Abstract

Abstract : 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.