- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 2
- RD-projective module whose subprojectivity domain is minimal
RD-projective module whose subprojectivity domain is minimal
Authors : Yilmaz Durğun
Pages : 373-382
Doi:10.15672/hujms.776933
View : 11 | Download : 4
Publication Date : 2022-04-01
Article Type : Research
Abstract :A p-indigent module is one that is subprojective only to projective modules. An RD-projective module is subprojective to any torsionfree (and flat) module. An RD-projective module $T$ is called rdp-indigent if it is subprojective only to torsionfree modules. In this work, we consider the structure of SRDP rings whose (simple) RD-projective right $R$-modules are rdp-indigent or torsionfree. Moreover, new characterizations of P-coherent rings and torsionfree rings are presented by subprojectivity domains.Keywords : RD-projective module, subprojectivity domain, rdp-indigent module, torsionfree module, flat module