On the structure of the set of semidualizing complexes
On the structure of the set of semidualizing complexes
We study the structure of the set of semidualizing complexes over a local ring. In particular, we prove that for a pair of semidualizing complexes $X_1$ and $X_2$ such that $G_{X_{2}}\dim X_{1}<\infty $ we have $X_2\simeq X_1\otimes^{L}_R\func{\mathbf{R}Hom}_R(X_{1},X_{2})$. Specializing to the case of semidualizing modules over artinian rings we obtain a …