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, L (2011). Properties of RD-projective and RD-injective modules. Turkish Journal of Mathematics 35 (2): 187-205. https://doi.org/10.3906/mat-0904-53
