令W是R-模的自正交类.证明R-复形X的W-Gorenstein分解维数等于所有层次上的R-模Xi的W-Gorenstein分解维数的上确界.
Let w be a self-orthogonal class of R-modules. It is proved that w-Gorenstein resolution dimension of a complex X is equivalent to the supremum of w-Gorenstein resolution dimension of R-modules Xi on all levels.