| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4588679 | Journal of Algebra | 2007 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
