… on CM-finite rings. One is a classification of CMfinite normal domains in dimension two
due … a classification of CM-finite Gorenstein rings in arbitrary dimension due to Buchweitz–Greuel–…

… the class of Gorenstein flat-cotorsion modules for group rings. One of the concerns in the
theory of cohomology of groups is related to the transfer of properties of modules along the ring …

… ways of extending their definition to an arbitrary ring. Given an R-module or an R-complex
M, we define the small restricted injective dimension small restricted injective dimension as …

… M1 has finite Gorenstein AC-projective dimension. In order to show that M2 … finite Gorenstein
AC-projective dimension, we will use induction on the Gorenstein AC-projective dimension …

… injective dimension of the testing class (see [1, Definition 3.2]) and the global Gorenstein
projective dimension … that over a n-Gorenstein ring R the left global Ding projective dimension is …

… We also study the Gorenstein projective dimensions of TR(M)-modules. In Section 4, we
introduce the notion of a perfect bimodule and prove Theorem 4.7. Some (non-)examples are …

… ϕW ) are Ding injective and the morphism … describe Ding projective and Ding injective
dimensions of a T-module. … presented and have finite projective or FP-injective dimension, we …

… finite Gorenstein projective dimension if X • is isomorphic to some bounded complex consisting
of Gorenstein … ) consisting of complexes with finite Gorenstein projective dimension. It is …

… Throughout this paper, \(R\) is an associative ring with identity. For a left \(R\)-module \(M\),
we denote the flat and injective dimensions of \(M\) by fd\(_RM\) and id\(_RM\). A complex …

… -injective or satisfies the condition | J 2 | = | J / J 2 | − 1 $|J^2| = |J/J^2| - 1$ . Also, we show that
any non-projective semi-Gorenstein… known for commutative rings to general rings. Some of …