STABLE TORSION THEORIES AND THE INJECTIVE HULLS OF SIMPLE MODULES

Year 2014, Volume: 16 Issue: 16, 89 - 98, 01.12.2014

Can Hatipoğlu

https://doi.org/10.24330/ieja.266229

Cited By: 1

Abstract

A torsion theoretical characterization of left Noetherian rings over
which injective hulls of simple left modules are locally Artinian is given. Suf-
ficient conditions for a left Noetherian ring to satisfy this finiteness condition
are obtained in terms of torsion theories.

Keywords

Injective modules, simple modules, stable torsion theories

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