The study of Cohen-Macaulay modules over Noetherian local rings originates from the
theory of integral representations of finite groups (which, on its side, grew up from a very …

In the last few years the maximal Cohen-Macaulay modules over local rings of singularities
have been studied by methods of representation theory, commutative algebra, and algebraic …

On reflexive and 𝐼-Ulrich modules over curve singularities Main Article Contents Mathematics
References Article Info Settings On reflexive and -Ulrich modules over curve singularities By …

The purpose of these notes is to explain in detail some topics on the intersection of
commutative algebra, representation theory and singularity theory. They are based on …

In this paper we consider the problem of Cohen-Macaulay module type for orders or for
Cohen-Macaulay algebras A which occur as local rings of reduced curve singularities. It is …

ON COHEN–MACAULAY MODULES ON SURFACE SINGULARITIES Introduction During the
study of Cohen–Macaulay modules on curve singular Page 1 ON COHEN–MACAULAY …

I include a complete proof of this result in this survey article. My emphasis lies on the
conscruction of maximal Cohen-Macaulay modules via matrix factorizations (section 2), from …

Let R= k [Y1, Y2, Y3]/(f), f= Y13+ Y23+ Y33, where k is an algebraically closed field with
chark≠ 3. Using Atiyah bundle classification over elliptic curves we describe the matrix …

Although there has been a lot of work and success lately in the theory of such modules, of
which this conference witnessed, it has remained mysterious-at least to the present author …

Let A= k [[zl,..., zr]\be the formal power series ring in the variables z, over a field k, and let f= f
(zx,..., zr) be a non-zero non-unit in A. Then we call R= A/{f) the local ring of/In [19] Knorrer …