Rings and Modules Whose Socles are Relative Ejective

Year 2018, Volume: 22 Issue: 6, 1874 - 1877, 01.12.2018

Nuray Eroğlu

https://doi.org/10.16984/saufenbilder.446955

Abstract

Lifting homomorphism from modules
to modules or even from certain submodule to the modules have been important
both in ring and module theory. In this note we study rings and modules whose
socles are relative ejective. Moreover we reduce our consideration to rings and
modules with injective socles which provides the dual notion to PSmodules.

Keywords

Socle, M-injective module

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