- International Electronic Journal of Algebra
- Volume:15 Issue:15
- ON CLASSES OF MODULES CLOSED UNDER INJECTIVE HULLS AND ARTINIAN PRINCIPAL IDEAL RINGS
ON CLASSES OF MODULES CLOSED UNDER INJECTIVE HULLS AND ARTINIAN PRINCIPAL IDEAL RINGS
Authors : Alejandro AlvaradoGarcía, César CejudoCastilla, Hugo Alberto RincónMejía, Ivan Fernando VilchisMontalvo
Pages : 1-12
Doi:10.24330/ieja.266233
View : 13 | Download : 11
Publication Date : 2014-06-01
Article Type : Research Paper
Abstract :In this work we consider some classes of modules closed under certain closure properties such as being closed under taking submodules, quotients, injective hulls and direct sums. We obtain some characterizations of artinian principal ideal rings using properties of big lattices of module classes.Keywords : Artinian principal ideal rings, big lattices of module classes, QF rings