Rings such that, for each unit u, u - un belongs to the Jacobson radical
| dc.contributor.author | Kosan, M. Tamer | |
| dc.contributor.author | Troung Cong Quynh | |
| dc.contributor.author | Yildirim, Tulay | |
| dc.contributor.author | Zemlicka, Jan | |
| dc.date.accessioned | 2025-10-29T11:12:05Z | |
| dc.date.issued | 2020 | |
| dc.department | Fakülteler, Temel Bilimler Fakültesi, Matematik Bölümü | |
| dc.description.abstract | A 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.sponsorship | TUBITAK of Turkey [117F070] | |
| dc.description.sponsorship | M. Tamer Kosan and Tulay Yildirim are supported by a grant (117F070) from TUBITAK of Turkey. | |
| dc.identifier.doi | 10.15672/hujms.542574 | |
| dc.identifier.endpage | 1404 | |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.issue | 4 | |
| dc.identifier.orcid | 0000-0003-3319-5193 | |
| dc.identifier.orcid | 0000-0002-0845-0175 | |
| dc.identifier.scopus | 2-s2.0-85090813788 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 1397 | |
| dc.identifier.trdizinid | 489955 | |
| dc.identifier.uri | https://doi.org/10.15672/hujms.542574 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/489955 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14854/6121 | |
| dc.identifier.volume | 49 | |
| dc.identifier.wos | WOS:000562117700014 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Hacettepe Univ, Fac Sci | |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_WOS_20251020 | |
| dc.subject | UU-ring | |
| dc.subject | UJ-ring | |
| dc.subject | unit | |
| dc.subject | Jacobson radical | |
| dc.subject | clean ring | |
| dc.subject | (semi)regular ring | |
| dc.subject | reduced ring | |
| dc.title | Rings such that, for each unit u, u - un belongs to the Jacobson radical | |
| dc.title.alternative | Rings such that, for each unit u, u ? $u^n$ belongs to the Jacobson radical | |
| dc.type | Article |








