Title of article
When every self-small module is finitely generated
Author/Authors
Simion Breaz، نويسنده , , Jan ?emli?ka، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
9
From page
885
To page
893
Abstract
The aim of this paper is to give necessary and sufficient conditions for rings for which every right self-small module is finitely generated. It is proved that: semi-simple rings, commutative perfect rings and right nonsingular Σ-extending rings have this property; a right nonsingular semi-prime ring has the property if and only if it is semi-simple; a commutative noetherian ring has the property if and only if it is artinian.
Keywords
Self-small module , Strongly steady ring , Semi-simple ring , Right nonsingular ring , Artinian ring , Noetherian ring
Journal title
Journal of Algebra
Serial Year
2007
Journal title
Journal of Algebra
Record number
698263
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