This is an addendum to my article ''Almost Cohen-Macaulay Modules''(Comm. in Algebra 29
(2), 781–787 (2001)), which will be refered to as [K].(1) By [BH, Theorem 2.1. 3., p. 57], MP is …

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

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 …

Recently Hochster [6] has made a remarkable discovery of a procedure for con-structing
maximal Cohen-Macaulay modules over equicharacteristic local rings. The existence of …

Given a one-dimensional analytically unramified local ring (𝑅, 𝔪), let 𝔈 (𝑅) denote the
monoid of isomorphism classes of maximal Cohen-Macaulay 𝑅-modules (together with [0]) …

Let R be a commutative Noetherian ring, and let N be a non-zero finitely generated locally
quasi-unmixed R-module. In this paper, the main result asserts that N is Cohen-Macaulay if …

Let $(R,\underline {m}) $ be a commutative Noetherian local ring and $ M $ be a non-zero
finitely generated $ R $-module. We show that if $ R $ is almost Cohen-Macaulay and $ M …

Let (R, m) be a commutative Noetherian local ring. In this paper we show that a finitely
generated R-module M of dimension d is Cohen-Macaulay if and only if there exists a proper …

Let R be a Cohen–Macaulay local ring. In this paper, we study the structure of Ulrich R-
modules mainly in the case where R has minimal multiplicity. We explore generation of …

Let $ M $ be an $ R $-module over a Noetherian ring $ R $ and $\mathfrak {a} $ be an ideal
of $ R $ with $ c={\rm cd}(\mathfrak {a}, M) $. First, we prove that $ M $ is finite $\mathfrak {a} …