Publication: When is a semiperfect ring right PF
Issued Date
2008-09-01
Resource Type
ISSN
17937183
17935571
17935571
Other identifier(s)
2-s2.0-84857562717
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Mahidol University
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SCOPUS
Bibliographic Citation
Asian-European Journal of Mathematics. Vol.1, No.3 (2008), 353-358
Suggested Citation
Banh Duc Dung, Le Duc Thoang, Nguyen Van Sanh When is a semiperfect ring right PF. Asian-European Journal of Mathematics. Vol.1, No.3 (2008), 353-358. doi:10.1142/S1793557108000308 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/19415
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Title
When is a semiperfect ring right PF
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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.