Rings in which every unit is a sum of a nilpotent and an idempotent

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dc.contributor.authorKarimi-Mansoub, Arezou
dc.contributor.authorKosan, Tamer
dc.contributor.authorZhou, Yiqiang
dc.coverage.doi10.1090/conm/715
dc.date.accessioned2025-10-29T11:16:24Z
dc.date.issued2018
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractA ring R is a UU ring if every unit is unipotent, or equivalently if every unit is a sum of a nilpotent and an idempotent that commute. These rings have been investigated in Calugareanu [3] and in Danchev and Lam [7]. In this paper, two generalizations of UU rings are discussed. We study rings for which every unit is a sum of a nilpotent and an idempotent, and rings for which every unit is a sum of a nilpotent and two idempotents that commute with one another.
dc.identifier.doi10.1090/conm/715/14412
dc.identifier.endpage203
dc.identifier.isbn978-1-4704-3555-4
dc.identifier.issn0271-4132
dc.identifier.issn1098-3627
dc.identifier.scopus2-s2.0-85059585475
dc.identifier.scopusqualityQ3
dc.identifier.startpage189
dc.identifier.urihttps://doi.org/10.1090/conm/715/14412
dc.identifier.urihttps://hdl.handle.net/20.500.14854/7560
dc.identifier.volume715
dc.identifier.wosWOS:000466368400014
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Mathematical Soc
dc.relation.ispartofAdvances in Rings and Modules
dc.relation.publicationcategoryKitap Bölümü - Uluslararası
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectunit
dc.subjectidempotent
dc.subjectnilpotent
dc.subjectnil-clean ring
dc.subjectstrongly nil-clean ring
dc.subjectclean ring
dc.subjectsemipotent ring
dc.subjectUU ring
dc.subjectUNC ring
dc.subjectgroup ring
dc.titleRings in which every unit is a sum of a nilpotent and an idempotent
dc.typeBook Chapter

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