Vol. 48, No. 2, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN: 1945-5844 (e-only)
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

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
Received: 6 July 1972
Published: 1 October 1973
Stephen Dale Bronn