| dc.contributor.author | Chen, Huanyin | |
| dc.contributor.author | Gurgün, Orhan | |
| dc.contributor.author | Köse, Handan | |
| dc.date.accessioned | 12.07.201910:49:13 | |
| dc.date.accessioned | 2019-07-11T21:55:40Z | |
| dc.date.available | 12.07.201910:49:13 | |
| dc.date.available | 2019-07-11T21:55:40Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.uri | https://app.trdizin.gov.tr/makale/TVRnd01UYzVPUT09 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/687 | |
| dc.description.abstract | A ring R is uniquely (strongly) clean provided that for any a ∈ R there exists a unique idempotent e ∈ R ( e ∈ comm(a) ) such that a − e ∈ U(R). We prove, in this note, that a ring R is uniquely clean and uniquely bleached if and only if R is abelian, Tn(R) is uniquely strongly clean for all n ≥ 1, i.e. every n x n triangular matrix over R is uniquely strongly clean, if and only if R is abelian, and Tn(R) is uniquely strongly clean for some n ≥ 1. In the commutative case, more explicit results are obtained. | en_US |
| dc.description.abstract | A ring R is uniquely (strongly) clean provided that for any a ∈ R there exists a unique idempotent e ∈ R ( e ∈ comm(a) ) such that a − e ∈ U(R). We prove, in this note, that a ring R is uniquely clean and uniquely bleached if and only if R is abelian, Tn(R) is uniquely strongly clean for all n ≥ 1, i.e. every n x n triangular matrix over R is uniquely strongly clean, if and only if R is abelian, and Tn(R) is uniquely strongly clean for some n ≥ 1. In the commutative case, more explicit results are obtained. | en_US |
| dc.language.iso | eng | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Matematik | en_US |
| dc.title | Uniquely strongly clean triangular matrices | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Turkish Journal of Mathematics | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi | en_US |
| dc.identifier.volume | 39 | en_US |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.startpage | 645 | en_US |
| dc.identifier.endpage | 649 | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US] |
