… The main theorem of [12] produces infinitely many indecomposable generically free modules
of prescribed rank, over any one-dimensional Noetherian CohenMacaulay local ring {R, m, …

… Cohen-Macaulay local rings with the property r,(R) = B. It is in this class of rings that many
results on the index of Gorenstein local rings … over a one dimensional Gorenstein local ring. Let …

… rings of finite CM type satisfying (red) and (fin) are essentially classified, we now have a
description of virtually all one-dimensional local rings of finite CM type. The proof of Theorem 1 …

… However the corollary to the following theorem shows that equality holds for a large class
of rings. Let (R,~) be a one-dimensional complete reduced local ring with infinite residue class …

… A Noetherian, quasi-local ring is called a local ring , and a Noetherian ring with only … one
chain with exactly n + I terms. We will say that a ring R is a 1-dimensional Cohen-Macaulay ring …

… is precisely when the tangent cone is Cohen–Macaulay. Moreover, we do this … ring A is
Cohen– Macaulay. For that, we first extend to any one-dimensional Cohen–Macaulay local ring …

… Throughout this paper, (A, m, k) will denote a one dimensional, Cohen-Macaulay, local ring
… Let A = k[ [t*; tl ES]] be a semigroup ring with CohenMacaulay type t(A) > 3. Then (A, m, k) …

… Since we will be working with Cohen-Macaulay local rings it is often possible to reduce
questions to the case of dimension zero by dividing by a maximal resular sequence. For later …

… Lacking appropriate terminology, we define an h-extension of a local ring R to be a separable
extension RA of local rings such that A is the localization at a maximal ideal of some flat, Ž …

… Here we study the one-dimensional CM local rings of … hypersurface singularities of dimension
one having bounded but … S be any onedimensional analytically ramified local domain. …