Small Injective Rings
| dc.creator | Shen, Liang | |
| dc.creator | Chen, Jianlong | |
| dc.date | 2005-05-21 | |
| dc.date.accessioned | 2026-07-07T05:20:07Z | |
| dc.date.available | 2026-07-07T05:20:07Z | |
| dc.description | Let $R$ be a ring, a right ideal $I$ of $R$ is called small if for every proper right ideal $K$ of $R$, $I+K\neq R$. A ring $R$ is called right small injective if every homomorphism from a small right ideal to $R_{R}$ can be extended to an $R$-homomorphism from $R_{R}$ to $R_{R}$. Properties of small injective rings are explored and several new characterizations are given for $QF$ rings and $PF$ rings, respectively. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505445 | |
| dc.identifier | http://arxiv.org/abs/math/0505445 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75263 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16L60 16D50 | |
| dc.title | Small Injective Rings | |
| dc.type | text |