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Decisive dimension and other related torsion theoretic dimensions

By Jaime Castro Pérez, Francisco Raggi and José Ríos Montes

Abstract

AbstractThe paper is concerned with the study of the decisive dimension defined on the category of left modules over a ring R. We compare the decisive dimension with the Gabriel dimension and other dimensions recently introduced. We give module theoretic as well as lattice theoretic characterizations of rings with decisive dimension. As an application we obtain characterizations of some classes of rings

Publisher: Elsevier Ltd.
Year: 2007
DOI identifier: 10.1016/j.jpaa.2006.05.026
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