| dc.contributor.author | Köse, Handan | |
| dc.contributor.author | Ungor, Burcu | |
| dc.contributor.author | Halıcıoglu, Sait | |
| dc.date.accessioned | 12.07.201910:49:13 | |
| dc.date.accessioned | 2019-07-11T21:54:58Z | |
| dc.date.available | 12.07.201910:49:13 | |
| dc.date.available | 2019-07-11T21:54:58Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 1303-5010 | |
| dc.identifier.uri | https://app.trdizin.gov.tr/makale/TVRReE1EQTVPUT09 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/539 | |
| dc.description.abstract | Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced rings. A ring R is called central rigidif for any a,b ∈ R, $a^2 b = 0$ implies ab belongs to the center of R.Since every reduced ring is central rigid, we study sufficient conditions for central rigid rings to be reduced. We prove that some resu lts of reduced rings can be extended to central rigid rings for this general setting, in particular, it is shown that every reduced ring is central rigid, every central rigid ring is central reversible, central sem icommutative, 2-primal, abelian and so directly finite. | en_US |
| dc.description.abstract | Let R be a ring with identity. We introduce a class of rings which is a generalization of reduced rings. A ring R is called central rigidif for any a,b ∈ R, $a^2 b = 0$ implies ab belongs to the center of R.Since every reduced ring is central rigid, we study sufficient conditions for central rigid rings to be reduced. We prove that some resu lts of reduced rings can be extended to central rigid rings for this general setting, in particular, it is shown that every reduced ring is central rigid, every central rigid ring is central reversible, central sem icommutative, 2-primal, abelian and so directly finite. | en_US |
| dc.language.iso | eng | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | İstatistik ve Olasılık | en_US |
| dc.subject | Matematik | en_US |
| dc.title | A generalization of reduced rings | en_US |
| dc.type | other | en_US |
| dc.relation.journal | Hacettepe Journal of Mathematics and Statistics | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi | en_US |
| dc.identifier.volume | 41 | en_US |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.startpage | 689 | en_US |
| dc.identifier.endpage | 696 | en_US |
| dc.relation.publicationcategory | Diğer | en_US] |
