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 ...

An extension is given of the theorem relating projective dimension to depth for a finitely generated module of finite projective dimension over a commutative Noetherian local ring. This extension is ...

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 ...