Properties of RD-projective and RD-injective modules

Authors

LIXIN MAO

DOI

10.3906/mat-0904-53

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

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