We investigate the Lyubeznik numbers and the injective dimension of local cohomology modules of finitely generated ℤ-algebras. We prove that the mixed characteristic Lyubeznik numbers and the standard ...
Let A be an artin algebra. Then A has finite self-injective dimensions on both sides if and only if every finitely generated left A-module has finite Gorenstein dimension. Journal Information This ...
The study of Gorenstein algebras has emerged as a cornerstone of modern algebra, offering a powerful paradigm in which duality and symmetry in module theory can be rigorously examined. These algebras ...