Dergiler / International Electronic Journal of Algebra / 2014 / Cilt: 15 - Sayı: 15

ON CLASSES OF MODULES CLOSED UNDER INJECTIVE HULLS AND ARTINIAN PRINCIPAL IDEAL RINGS

Alejandro Alvarado-García, César Cejudo-Castilla, Hugo Alberto Rincón-Mejía, Ivan Fernando Vilchis-Montalvo

Sayfa
1–12
DOI
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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.