… Let R be a commutative noetherian Cohen-Macaulay … maximal Cohen-Macaulay R-module
M which surjects onto N and such that any other surjection from a maximal Cohen-Macaulay …

… maximal ideal m and an infinite residue field k. In studying minimal CohenMacaulay
approximation … X IJ R” + C with X a maximal Cohen-Macaulay module with no free summands. …

… a Cohen–Macaulay (CM) ring with a dualizing module admits a socalled maximal CM
approximation… has a special maximal CM precover. In this paper, we prove the existence of special …

… along ring extensions, particularly between a CohenMacaulay local ring and its completion,
as … of maximal Cohen-Macaulay modules over Cohen-Macaulay rings: MCM approximations …

… a representation in a maximal CohenMacaulay module with properties analogous to those
of Auslander’s approximations. When G is trivial, we recover Auslander’s approximations. We …

… In this note, we study approximations in case of Noetherian … A is a finitely generated
maximal Cohen-Macaulay R-module. … A- modules which are maximal Cohen-Macaulay R-modules. …

… The main goal of this paper is to investigate the absence (or presence) of free summands
in maximal Cohen-Macaulay (MCM) approximations over hypersurface rings R = S/(f ), where …

… If we started with a maximal Cohen–Macaulay module, except … resolution—and a maximal
Cohen–Macaulay module as its 0-… -approximation, that is, a surjection from a maximal Cohen–…

… to maximal Cohen - Macaulay (mCM, for short) approximations. The … Cohen - Macaulay
(CM) if depth M dim M. If depth M = dim M = dim R then M is called a maximal Cohen Macaulay …

… The aim of this work is to study the connection between the structure of Gorenstein rings
and properties of maximal Cohen-Macaulay modules over it. The original motivation for this …