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 the ideals associated with the construction of generic complexes are prime and arithmetically perfect. This is used to construct the generic resolution for modules of projective dimension two ...

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 ...