RD-projective module whose subprojectivity domain is minimal

Year 2022, Volume: 51 Issue: 2, 373 - 382, 01.04.2022

Yilmaz Durğun

https://doi.org/10.15672/hujms.776933

Cited By: 2

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

Supporting Institution

TUBITAK

Project Number

118F311

Thanks

This research was supported by TUBITAK 1002-Short Term R\&D Funding Program.

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