| dc.contributor.author | Chen, Huanyin | |
| dc.contributor.author | Abdolyousefi, Marjan Sheibani | |
| dc.contributor.author | Kose, Handan | |
| dc.date.accessioned | 2019-11-24T20:39:13Z | |
| dc.date.available | 2019-11-24T20:39:13Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.issn | 1660-5454 | |
| dc.identifier.uri | https://dx.doi.org/10.1007/s00009-018-1297-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2647 | |
| dc.description | WOS: 000454919400015 | en_US |
| dc.description.abstract | A *-ring R is called a medium *-clean ring if every element in R is the sum or difference of an element in its Jacobson radical and a projection that commute. We prove that a ring R is medium *-clean if and only if R is strongly *-clean and R/J(R) is a Boolean ring, Z3 or the product of such rings, if and only if R weakly J-*-clean and a2R is uniquely *-clean for all aR, if and only if every idempotent lifts modulo J(R), R is abelian and R/J(R) weakly *-Boolean. A subclass of medium *-clean rings with many nilpotents is thereby characterized. | en_US |
| dc.description.sponsorship | Natural Science Foundation of Zhejiang Province, ChinaNatural Science Foundation of Zhejiang Province [LY17A010018] | en_US |
| dc.description.sponsorship | The authors would like to thank the referee for his/her careful reading and valuable remarks that improved the presentation of our work. H. Chen was supported by the Natural Science Foundation of Zhejiang Province, China (no. LY17A010018). | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SPRINGER BASEL AG | en_US |
| dc.relation.isversionof | 10.1007/s00009-018-1297-3 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Projection | en_US |
| dc.subject | Jacobson radical | en_US |
| dc.subject | homomorphic image | en_US |
| dc.subject | *-clean ring | en_US |
| dc.subject | Primary 16W10 | en_US |
| dc.subject | Secondary 16E50 | en_US |
| dc.title | On Medium *-Clean Rings | en_US |
| dc.type | article | en_US |
| dc.relation.journal | MEDITERRANEAN JOURNAL OF MATHEMATICS | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 16 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
