RD-projective module whose subprojectivity domain is minimal

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Hacettepe Journal of Mathematics and Statistics
Volume:51 Issue:2
RD-projective module whose subprojectivity domain is minimal

RD-projective module whose subprojectivity domain is minimal

Pages : 373-382

View : 52 | Download : 15

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

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