Singularities and Direct-sum Decompositions

  title={Singularities and Direct-sum Decompositions},
  author={Roger Wiegand},
Let (R; m;k) be a local ring (commutative and Noetherian). We will discuss existence and uniqueness of direct-sum decompositions of nitely generated R-modules. One says that R has nite CM type provided there are only nitely many indecomposable maximal Cohen-Macaulay R-modules up to isomorphism. Among complete equicharacteristic hypersurface rings with k… CONTINUE READING