Properties of RD-projective and RD-injective modules

Authors : Lixin Mao

Pages : 187-205

View : 13 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : RD-projective module, RD-injective module, RD-flat module, RD-projective dimension, RD-injective dimension, (pre)envelope, (pre)cover