Rings whose CS-modules have injective singular submodules

Author

Kamal, Mahmud Ahmad

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

Mathematics

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