Abstract
We prove the depth formula, for homologically bounded complexes X, Y provided that the complete intersection flat dimension of X is finite and . In particular, let M and N be two R-modules and the complete intersection flat dimension of M be finite. Then M and N satisfy the depth formula, provided for all i ≥ 1.
ACKNOWLEDGMENTS
The authors are grateful to Yuji Yoshino for thoughtful discussions about this research. They also would like to thank the referee for his/her useful comments.
P. Sahandi was supported in part by a grant from IPM (No. 89130051).
T. Sharif was supported in part by a grant from IPM (No. 83130311).
S. Yassemi was supported in part by a grant from IPM (No. 89130213).
Notes
Communicated by I. Swanson.