Turkish Journal of Mathematics
Abstract
In this paper, we first study RD-projective and RD-injective modules using, among other things, covers and envelopes. Some new characterizations for them are obtained. Then we introduce the RD-projective and RD-injective dimensions for modules and rings. The relations between the RD-homological dimensions and other homological dimensions are also investigated.
DOI
10.3906/mat-0904-53
Keywords
RD-projective module, RD-injective module, RD-flat module, RD-projective dimension, RD-injective dimension, (pre)envelope, (pre)cover
First Page
187
Last Page
205
Recommended Citation
MAO, LIXIN
(2011)
"Properties of RD-projective and RD-injective modules,"
Turkish Journal of Mathematics: Vol. 35:
No.
2, Article 3.
https://doi.org/10.3906/mat-0904-53
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss2/3
