Vol. 47, No. 1, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 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
Endomorphism rings of finitely generated projective modules

Robert Wilmer Miller

Vol. 47 (1973), No. 1, 199–220
Abstract

Over a ring A let PA be a finitely generated projective right A-module with A-endomorphism ring B. Anderson has called PA an injector, perfect injector, projector, perfect projector, if the functor F = BP A() preserves injectives, injective hulls, projectives, projective covers, respectively. Call PA a flatjector if F preserves flat modules. Injectors, flatjectors, and projectors are characterized. The radical of a module over B is studied, and necessary and sufficient conditions are given for the radical of B to be left T-nilpotent. Perfect injectors are characterized. Previous characterizations of perfect projectors have assummed the ring A to be left perfect. Here characterizations are obtained using substantially weaker conditions on PA.

Mathematical Subject Classification
Primary: 16A50
Milestones
Received: 7 January 1972
Published: 1 July 1973
Authors
Robert Wilmer Miller