Abstract
Let S and R be rings and S C R a semidualizing bimodule. We investigate the relation between the G C -syzygy with the C-syzygy of a module as well as the relation between the G C -projective resolution and the projective resolution of a module. As a consequence, we get that if
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
This research was partially supported by the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20100091110034), NSFC (Grant No. 11171142), NSF of Jiangsu Province of China (Grant Nos. BK2010047, BK2010007), and a project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institution. The authors thank the referee for the useful suggestions.
Notes
Communicated by S. Bazzoni.