Abstract
Let M R be a right R-module over a ring R with S = End(M R ). We study the coherence of the left S-module S M relative to a hereditary torsion theory for the category of right R-modules. Various results are developed, many extending known results.
ACKNOWLEDGMENTS
This research was partially supported by SRFDP (No. 20050284015), NSFC (No. 10331030), NSF of Jiangsu Province of China (No. BK 2005207), and the Nanjing Institute of Technology of China. The authors would like to thank Professor Efim Zelmanov for his suggestions.
Notes
Communicated by E. Zelmanov.