Let W be a self-orthogonal class of R-modules. We prove that W-Gorenstein resolution dimension of a complex X is equivalent to the supremum of W-Gorenstein resolution dimension of modules X_i for all i ∈ Z.
基金Supported by the 2015 Scientific Research Projects in Universities of Gansu Province(2015A-181)
文摘Let W be a self-orthogonal class of R-modules. We prove that W-Gorenstein resolution dimension of a complex X is equivalent to the supremum of W-Gorenstein resolution dimension of modules X_i for all i ∈ Z.
