Vol. 48, No. 2, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Cotorsion theories

Stephen Dale Bronn

Vol. 48 (1973), No. 2, 355–363
Abstract

In this paper A is a ring with unit, and Mod-A denotes the category of unitary right A-modules. The aim of the paper is to dualize the concept of torsion and develop the corresponding idea of cotorsion.

One generalization of torsion was given by Goldman, using what he called a kernel functor. These kernel functors are here dualized to give cokernel functors. Cokernel functors are categorized over Mod-A.

The final section investigates what information the cotorsion functors can reveal about the homological properties of the rings under discussion.

Mathematical Subject Classification
Primary: 16A62
Milestones
Received: 6 July 1972
Published: 1 October 1973
Authors
Stephen Dale Bronn