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 ...

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} ...

Proceedings of the American Mathematical Society, Vol. 132, No. 6 (Jun., 2004), pp. 1613-1619 (7 pages) We show that the projective module P over a cellular algebra is injective if and only if the ...