Abstract
Let R be a commutative noetherian ring and A a noetherian R-algebra. Take a minimal injective resolution R → I
• and set . We deal with the case where V
• is a dualizing complex for A. We show that A itself is a dualizing complex for A if and only if V
• is isomorphic to a tilting complex in 𝒟(\textMod-A) and that if A is a dualizing complex for A, then
induces a self-equivalence of 𝒟
b(\textmod-A).
2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
The author would like to thank M. Hoshino for his helpful advice.
Notes
Communicated by D. Zacharia