Let A be a Noetherian local ring and M a finitely generated A-module. We say that M is a
Buchsbaum module if the difference s-eq (M) is an invariant of M, not depending on the …

Maximal Buchsbaum Modules over Regular Local Rings Page 1 Advanced Studies in Pure
Mathematics 11, 1987 Commutative Algebra and Combinatorics pp. 39-64 Maximal …

The purpose of this article is to discuss when the associated graded ring of a given
Noetherian local ring is Buchsbaum. Throughout, let A denote a Noetherian local ring of dim …

Let A be a Noetherian local ring with maximal ideal m. We assume that dim A= d> 0. The
local cohomology f unctor H~(-) was defined by Grothendieck [11] and he showed that for …

Let A be a Cohen-Macaulay local ring, and let C'(A) be the class of all finitely generated A-
modules which are of finite projective dimension and of codimension at least r. The …

Idealizations of maximal Buchsbaum modules over a Buchsbaum ring Page 1 Math. Proc.
Camb. Phil. Soc. (1988), 104, 451 451 Printed in Great Britain Idealizations of maximal …

The aim of this paper is to study the indecomposable modules which are Cohen-Macaulay
on the punctured spectrum of a local ring, and to describe some of their invariants such as …

The theory of maximal Cohen–Macaulay modules over a Cohen–Macaulay local ring has
been very successful and it has many applications, even to the theory of singularities. Of …

THEOREM (1.1). Let P= k [X1, X2,..., Xj be a formal power series ring over an algebraically
closed field k of chk* 2. Let R= P/I, where I is an ideal of P and suppose that dimR= d> _2 …

Let A and B be commutative Noetherian local rings such that B contains A and B is flat and
integral over A. It is shown that if M is a balanced big Cohen-Macaulay A-module (that is …