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A note on semiprime right Goldie rings.
- Source :
-
Communications in Algebra . 2017, Vol. 45 Issue 6, p2730-2734. 5p. - Publication Year :
- 2017
-
Abstract
- It is shown that a ring R is semiprime right Goldie if and only if R is right non- singular and every nonsingular right R-module M has a direct decomposition M = I⊕N, where I is injective and N is a reduced module such that N does not contain any extending submodule of infinite Goldie dimension. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 45
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 120618218
- Full Text :
- https://doi.org/10.1080/00927872.2016.1233211