RD-projective module whose subprojectivity domain is minimal

Authors : Yilmaz DURĞUN

Pages : 373-382

Doi:10.15672/hujms.776933

View : 17 | Download : 5

Publication Date : 2022-04-01

Article Type : Research Paper

Abstract :A p-indigent module is one that is subprojective only to projective modules. An RD-projective module is subprojective to any torsionfree insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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