Vol. 35, No. 3, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 311: 1
Vol. 310: 1  2
Vol. 309: 1  2
Vol. 308: 1  2
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Online Archive
The Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
Other MSP Journals
Rings whose homomorphic images are q-rings

Saad H. Mohamed

Vol. 35 (1970), No. 3, 727–735

L. Levy has characterised a commutative noetherian ring in which every proper homomorphic image is self-injective to be a Dedekind domain, or a principal ideal ring with descending chain condition, or a local ring whose maximal ideal M has composition length 2 and satisfies M2 = 0. The object of this paper is to generalise Levy’s result to the noncommutative case by studying right noetherian rings in which every proper homomorphic image is a right q-ring. Since every commutative self-injective ring is a q-ring, one can get Levy’s result as a special case of Theorems 2.12 and 2.13.

Mathematical Subject Classification
Primary: 16.25
Received: 15 April 1969
Published: 1 December 1970
Saad H. Mohamed