Publication: When is a semiperfect ring right PF
| dc.contributor.author | Banh Duc Dung | en_US |
| dc.contributor.author | Le Duc Thoang | en_US |
| dc.contributor.author | Nguyen Van Sanh | en_US |
| dc.contributor.other | University of Transport in Hochiminh City | en_US |
| dc.contributor.other | Phu Yen University | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2018-07-12T02:34:40Z | |
| dc.date.available | 2018-07-12T02:34:40Z | |
| dc.date.issued | 2008-09-01 | en_US |
| dc.description.abstract | It is well-known that a ring R is right PF if and only if it is semiperfect and right self-injective with essential right socle. In this note, it is shown that a ring R is right PF if and only if u.dim(RR) < ∞ and every colocal, injective right R-module is projective. Consequently, a semiperfect ring R is right PF if and only if the two classes of colocal injective right R-modules and local projective right modules coincide. © 2008 World Scientific Publishing Company. | en_US |
| dc.identifier.citation | Asian-European Journal of Mathematics. Vol.1, No.3 (2008), 353-358 | en_US |
| dc.identifier.doi | 10.1142/S1793557108000308 | en_US |
| dc.identifier.issn | 17937183 | en_US |
| dc.identifier.issn | 17935571 | en_US |
| dc.identifier.other | 2-s2.0-84857562717 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/19415 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84857562717&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | When is a semiperfect ring right PF | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84857562717&origin=inward | en_US |