Rings such that, for each unit u, u - un belongs to the Jacobson radical

dc.contributor.authorKosan, M. Tamer
dc.contributor.authorTroung Cong Quynh
dc.contributor.authorYildirim, Tulay
dc.contributor.authorZemlicka, Jan
dc.date.accessioned2025-10-29T11:12:05Z
dc.date.issued2020
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractA ring R is said to be n-UJ if u - u(n) is an element of J(R) for each unit u of R, where n > 1 is a fixed integer. In this paper, the structure of n-UJ rings is studied under various conditions. Moreover, the n-UJ property is studied under some algebraic constructions.
dc.description.sponsorshipTUBITAK of Turkey [117F070]
dc.description.sponsorshipM. Tamer Kosan and Tulay Yildirim are supported by a grant (117F070) from TUBITAK of Turkey.
dc.identifier.doi10.15672/hujms.542574
dc.identifier.endpage1404
dc.identifier.issn2651-477X
dc.identifier.issue4
dc.identifier.orcid0000-0003-3319-5193
dc.identifier.orcid0000-0002-0845-0175
dc.identifier.scopus2-s2.0-85090813788
dc.identifier.scopusqualityQ2
dc.identifier.startpage1397
dc.identifier.trdizinid489955
dc.identifier.urihttps://doi.org/10.15672/hujms.542574
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/489955
dc.identifier.urihttps://hdl.handle.net/20.500.14854/6121
dc.identifier.volume49
dc.identifier.wosWOS:000562117700014
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherHacettepe Univ, Fac Sci
dc.relation.ispartofHacettepe Journal of Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectUU-ring
dc.subjectUJ-ring
dc.subjectunit
dc.subjectJacobson radical
dc.subjectclean ring
dc.subject(semi)regular ring
dc.subjectreduced ring
dc.titleRings such that, for each unit u, u - un belongs to the Jacobson radical
dc.title.alternativeRings such that, for each unit u, u ? $u^n$ belongs to the Jacobson radical
dc.typeArticle

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