- International Electronic Journal of Algebra
- Vol: 16 Issue: 16
- STABLE TORSION THEORIES AND THE INJECTIVE HULLS OF SIMPLE MODULES
STABLE TORSION THEORIES AND THE INJECTIVE HULLS OF SIMPLE MODULES
Authors : Can Hatipoğlu
Pages : 89-98
Doi:10.24330/ieja.266229
View : 9 | Download : 8
Publication Date : 2014-12-01
Article Type : Other
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