3 papers
math.AC2012
Ranks of indecomposable modules over rings of infinite Cohen-Macaulay type
A. Crabbe, S. Saccon
Let (R,m,k) be a one-dimensional analytically unramified local ring with minimal prime ideals P_1,...,P_s. Our ultimate goal is to study the direct-sum behavior of maximal Cohen-Ma…
math.AC2010
Wild hypersurfaces
Andrew Crabbe, Graham J. Leuschke
Complete hypersurfaces of dimension at least 2 and multiplicity at least 4 have wild Cohen-Macaulay type.
math.AC2008
Constructing Big Indecomposable modules
Andrew Crabbe, Janet Striuli
Let be local Noetherian ring of depth at least two. We prove that there are indecomposable -modules which are free on the punctured spectrum of constant, arbitrarily large,…