Clean graph of a ring

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dc.authorid0000-0002-7874-2392en_US
dc.contributor.authorHabibi, Mohammad
dc.contributor.authorÇelikel, Ece Yetkin
dc.contributor.authorAbdioğlu, Cihat
dc.date.accessioned2021-01-10T06:54:49Z
dc.date.available2021-01-10T06:54:49Z
dc.date.issued2020
dc.departmentKMÜ, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.descriptionWOS:000685570200001
dc.description.abstractLet R be a ring (not necessarily commutative) with identity. The clean graph Cl(R) of a ring R is a graph with vertices in form (e,u), where e is an idempotent and u is a unit of R; and two distinct vertices (e,u) and (f,v) are adjacent if and only if ef = fe = 0 or uv = vu = 1. In this paper, we focus on Cl2(R), the subgraph of Cl(R) induced by the set {(e,u): e is a nonzero idempotent element of R}. It is observed that Cl2(R) has a crucial role in Cl(R). The clique number, the chromatic number, the independence number and the domination number of the clean graph for some classes of rings are determined. Moreover, the connectedness and the diameter of Cl2(R) are studied. © 2021 World Scientific Publishing Company.en_US
dc.identifier.citationHabibi, M., Yetkin, Çelikel, E., Abdioğlu, C. (2020). Clean graph of a ring. Journal of Algebra and Its Applications, 2150156.
dc.identifier.doi10.1142/S0219498821501565
dc.identifier.issn0219-4988
dc.identifier.scopus2-s2.0-85093932507
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219498821501565
dc.identifier.urihttps://hdl.handle.net/11492/3986
dc.identifier.wosWOS:000685570200001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorAbdioğlu, Cihat
dc.language.isoen
dc.publisherWorld Scientificen_US
dc.relation.journalJournal of Algebra and its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectChromatic Numberen_US
dc.subjectClean Graphen_US
dc.subjectClique Numberen_US
dc.subjectIdempotenten_US
dc.subjectUniten_US
dc.titleClean graph of a ringen_US
dc.typeArticle

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