We investigate extensions to the class of maximal Cohen-Macaulay modules over Cohen-
Macaulay rings from the viewpoint of definable subcategories. We pay particular attention to …

Abstract Over a Cohen-Macaulay local ring we consider two extensions of the maximal
Cohen-Macaulay modules from the viewpoint of definable subcategories, which are closed …

We introduce a new invariant for subcategories X of finitely generated modules over a local
ring R which we call the radius of X. We show that if R is a complete intersection and X is …

arXiv:1006.2021v2 [math.RA] 30 Jan 2012 Page 1 arXiv:1006.2021v2 [math.RA] 30 Jan 2012
EXPLICIT MODELS FOR SOME STABLE CATEGORIES OF MAXIMAL COHEN-MACAULAY …

The Category of Maximal Cohen–Macaulay Modules as a Ring with Several Objects Page 1
Mediterr. J. Math. 13 (2016), 885–898 DOI 10.1007/s00009-015-0557-8 1660-5446/16/030885-14 …

We introduce the notion of origin extension which is a formal analogue of Cohen-Macaulay
approximation. However, as an approximation, origin extensions are not completely …

Explicit models for some stable categories of maximal Cohen-Macaulay modules Page 1 Math.
Res. Lett. Volume 23, Number 5, 1507–1526, 2016 Explicit models for some stable categories …

Let R be a commutative noetherian Cohen-Macaulay ring which admits a dualizing module.
We show that for any finitely generated R-module N there exists a maximal Cohen-Macaulay …

In this paper we study the structure of two classes of modules called pseudo Cohen–
Macaulay and pseudo generalized Cohen–Macaulay modules. We also give a …

We study syzygies of (maximal) Cohen–Macaulay modules over one dimensional Cohen–
Macaulay local rings. We assume that rings are generically Gorenstein. We compare these …