Surjective-Buchsbaum modules over Cohen-Macaulay local rings
In 1987 Goto proved that over regular local rings, there exist only finitely many isomorphism classes of indecomposable maximal Buchsbaum modules. In this paper we shall establish a structure theorem for maximal surjective Buchsbaum modules of finite injective dimension over Cohen- Macaulay local rings, that naturally improves Goto's result. The assumption on the injective dimension is crucial; it cannot be replaced with the finiteness of projective dimension. We shall construct, over certain Cohen-Macaulay local rings, infinitely many non-isomorphic indecomposable maximal surjective Buchsbaum modules of finite projective dimension.
scientific article; zbMATH DE number 737180
scientific article