STABLE TORSION THEORIES AND THE INJECTIVE HULLS OF SIMPLE MODULES

Authors : Can Hatipoğlu

Pages : 89-98

Doi:10.24330/ieja.266229

View : 17 | Download : 14

Publication Date : 2014-12-01

Article Type : Research Paper

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