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 ...

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 ...

We prove here that if A is a commutative noetherian ring of Krull dimension d and of finite characteristic prime to d!, then stably extended projective A[ X1,..., Xn ]-modules of $\operatorname{rank} ...