Rings whose CS-modules have injective singular submodules
Author
Source
The Arabian Journal for Science and Engineering
Issue
Vol. 20, Issue 4A (31 Aug. 1995), pp.729-733, 5 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
1995-08-31
Country of Publication
Saudi Arabia
No. of Pages
5
Main Subjects
Abstract EN
The aim of this paper is to study rings with the property that, if the singular submodule of a right CS-module is proper then it is injective.
Rings with this property will be called right SCI-rings.
We show that prime right Goldie rings are always right SCI-rings, while semiprime right Goldie rings need not be SCI-rings.
We also give the necessary and sufficient condition for right noetherian rings and for semiprime right Goldie rings to be SCI-rings.
American Psychological Association (APA)
Kamal, Mahmud Ahmad. 1995. Rings whose CS-modules have injective singular submodules. The Arabian Journal for Science and Engineering،Vol. 20, no. 4A, pp.729-733.
https://search.emarefa.net/detail/BIM-394168
Modern Language Association (MLA)
Kamal, Mahmud Ahmad. Rings whose CS-modules have injective singular submodules. The Arabian Journal for Science and Engineering Vol. 20, no. 4A (Aug. 1995), pp.729-733.
https://search.emarefa.net/detail/BIM-394168
American Medical Association (AMA)
Kamal, Mahmud Ahmad. Rings whose CS-modules have injective singular submodules. The Arabian Journal for Science and Engineering. 1995. Vol. 20, no. 4A, pp.729-733.
https://search.emarefa.net/detail/BIM-394168
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 733
Record ID
BIM-394168