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 ...

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 ...