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 ...

A new and more elementary proof is given for Lønsted's theorem that vector bundles over a finite complex can be represented by projective modules over a noetherian ring. The rings obtained are ...

The main purpose of this paper is to prove the following result concerning Serre's problem: Any projective module of rank n over k[ X1, ⋯, Xn ] (where k is an infinite field) is free. We give also ...