Abstract

For a large class of rings, including all those encountered in algebraic geometry, we establish the conjectured Morita-like equivalence between the full subcategory of complexes of finite Gorenstein flat dimension and that of complexes of finite Gorenstein injective dimension. This functorial description meets the expectations and delivers a series of new results, which allows us to establish a well-rounded theory for Gorenstein dimensions. For any pair of adjoint functors, C

Citations