Let A and B be commutative Noetherian local rings, such that B is a finitely generated free A-
module. It is shown that if M is a balanced big Cohen–Macaulay A-module (that is, every …

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 …

Let A be a (commutative, Noetherian) local ring (with identity) and let a1,…, an be a system
of parameters (sop) for A. A (not necessarily finitely generated) A-module M is said to be a …

Throughout this note, A will denote a (commutative, Noetherian) local ring (with identity)
having maximal ideal m and dimension d. Let x1,…, xd be a system of parameters (sop) for …

Let A be a (commutative, Noetherian) local ring. The big Cohen-Macaulay conjecture
asserts that if a1,…, an is a system of parameters for A there exists an A-module M such that …

Let (A, m) be a (commutative, Noetherian) local ring, and a1,…, an a system of parameters
for A. Let M be an A-module. We say that M is a big Cohen-Macaulay module with respect to …

A COUSIN COMPLEX CHARACTERIZATION OF BALANCED BIG COHEN-MACAULAY
MODULES By RY SHARP Page 1 A COUSIN COMPLEX CHARACTERIZATION OF …

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 …

TOPICS ON SEQUENTIALLY COHEN-MACAULAY MODULES 1. Introduction. Throughout
this paper, unless otherwise speci- fied, let R be ac Page 1 JOURNAL OF COMMUTATIVE …

Abstract Let (R, m, k)(R, m, k) be a complete Cohen–Macaulay local ring. In this paper, we
assign a numerical invariant, for any balanced big Cohen–Macaulay module, called hh ̲ …