WHEN PRETORSION CLASSES COINCIDE WITH PRETORSION FREE CLASSES

Authors : A Alvarado García, H Alberto Rincón Mejía, José Ríos Montes

Pages : 56-64

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Publication Date : 2011-12-01

Article Type : Research Paper

Abstract :This paper concerns with the study of pretorsion classes and pretorsion free classes considered as big lattices, ordered by class inclusion. We obtain structural results about these lattices and we apply them to characterize the rings for which these lattices coincide, as the Artinian principal ideal rings.
Keywords : lattices, pretorsion classes, pretorsion free classes, Artinian principal ideal rings, preradicals