Finitistic Homological Dimensions Relative to Subcategories

Abstract

Let C⊆T be subcategories of an abelian category A. Under some certain conditions, we show that the C-finitistic and T-finitistic global dimensions of A are identical. Some applications are given; in particular, some known results are obtained as corollaries.

Keywords

• relative finitistic dimensions
• semidualizing bimodules
• C-Gorenstein modules
• auslander classes
• bass classes