… not only on the resolutions of Cohen–Macaulay modules. The … at Betti diagrams of graded
modules under the restriction that … Any Betti diagram of a finitely generated graded module P of …

… class of Cohen-Macaulay (=CM) dg (=differential graded) modules over Gorenstein dg
algebras and study their basic properties. We show that the category of CM dg modules forms a …

… be a noetherian graded ring such that Ro … Note that with respect to the theory of graded
modules, R behaves as though it were local. Then we say that a graded structure over R will …

… I-graded commutative CohenMacaulay … graded maximal ideal in R. We denote by R
the completion of R with respect to the m-adic topology. Then R is a complete local Cohen-Macaulay …

… show the existence of MGMCM modules for two dimensional homogeneous Cohen-Macaulay
domains. This is done … By an R-module for a homogeneous ring we will mean a graded R-…

… We introduce sequentially Cohen-Macaulay modules and derive some of their basic … R is
a standard graded CohenMacaulay K-algebra of dimension n with canonical module ωR. The …

… factorizations of all graded reflexive R-modules of rank one (see Section 3) and to show
effectively how we can produce the indecomposable graded reflexive R-modules of ranks ⩾ 2 …

… We say that a finitely generated R-module M is a generalized Cohen-Macaulay graded R-module
(or FLC graded Rmodule) if fR (H~(M))< 00 for i = 1= dim M. We say that a sequence X}…

… (CohenMacaulay) representation type if A has only finitely many indecomposable maximal
Cohen-Macaulay (MCM) A-modules. … Note that we will only take associated graded modules …

… Suppose that R is a positively graded homogeneous Cohen–Macaulay ring and M is a finitely
generated graded Cohen–Macaulay R-module. Assume also that dim R 0 =1 . Then, for all …