… -dimensional Cohen-Macaulay rings and projective curves. In other papers we will consider
higher-dimensional … of almost split sequences, complete two-dimensional Cohen-Macaulay …

… -dimensional rings treated in §3. In other dimensions we do not have fundamental sequences.
… We also consider the two-dimensional case when DTr is not necessarily the identity, and …

Let R be an integrally closed complete local commutative noetherian Cohen-Macaulay
domain with maximal ideal m and R/m= k an algebraically closed field. We abbreviate Cohen-…

… time Auslander and Smal0 pointed out that there is an intimate connection between the tilting
theory of Happel and Ringel based on tilting modules of projective dimension … intersections …

… on rings of infinite dominant dimension, Auslander and Reiten proposed the following …
intersection ring in codimension one. As we observed above, this implies by the work of Auslander…

Let R be an integrally closed complete local commutative noetherian Cohen-Macaulay
domain with maximal ideal m and R/m= k an algebraically closed field. We abbreviate Cohen-…

… AUSLANDER AND REITEN intersection of the maximal submodules of M. Obviously if C is
an indecomposable object in C, then the radical of C(', C) is the unique maximal submodule re…

… Auslander-Reiten conjecture holds true for the class of (finitely generated) modules whose
dual has finite complete intersection dimension. … finite complete intersection dimension and …

… of Auslander-Reiten sequences In § 1 we worked out a construction of the Auslander-Reiten …
has finite dimension over k , The considered representations of 0 are subjected to no …

… In this section we give a brief overview of Auslander–Reiten (AR) theory, giving the basic …
Besides the natural definition of crossing of arcs in the interior of the surface, we also need …