Title of article
Torsion theoretic dimensions and relative Gabriel correspondence
Author/Authors
Jaime Castro Pérez، نويسنده , , José R?os Montes، نويسنده , , Mark L. Teply، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
14
From page
101
To page
114
Abstract
Let τ be an hereditary torsion theory. For a ring with τ-Gabriel dimension, we find necessary and sufficient conditions for the existence of a bijective correspondence between the τ-torsionfree injective modules and the τ-closed prime ideals. As an application, new characterizations of fully bounded noetherian rings are obtained.
Journal title
Journal of Pure and Applied Algebra
Serial Year
2003
Journal title
Journal of Pure and Applied Algebra
Record number
817180
Link To Document