Vol. 25, No. 2, 1968

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 297: 1
Vol. 296: 1  2
Vol. 295: 1  2
Vol. 294: 1  2
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Noncommutative rings whose cyclic modules have cyclic injective hulls

Barbara Osofsky

Vol. 25 (1968), No. 2, 331–340
Abstract

A ring R is called hypercyclic if every cyclic R-module has cyclic injective hull. If R is hypercyclic and R∕J artinian, then R is a ring direct sum of matrix rings over local hypercyclic rings. The structure of local hypercyclic rings is studied.

Mathematical Subject Classification
Primary: 16.50
Milestones
Received: 18 January 1967
Published: 1 May 1968
Authors
Barbara Osofsky