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When every self-small module is finitely generated
- Source :
-
Journal of Algebra . Sep2007, Vol. 315 Issue 2, p885-893. 9p. - Publication Year :
- 2007
-
Abstract
- 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. [Copyright &y& Elsevier]
- Subjects :
- *RING theory
*ALGEBRA
*ALGEBRAIC fields
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 315
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 26246385
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2007.01.037