… We will give various examples of modules that have finite reducing homological dimension,
but first we record several remarks. The first one, which follows directly from Definition 2.1, is …

… Later on, Takahashi, in [14, Theorem 4.3], generalized the result in terms of the existence
of a syzygy module of the residue field having a semidualizing module as its direct summand. …

… Thus it follows from the long homology sequence that there are exact sequences: … The
notion is analogous to the cotranspose of a module with respect to a semidualizing bimodule …

… characterizations of objects of finite homological dimensions. … functors are displayed in the
complete homology theory [18] and … The importance of cotorsion pairs in homological algebra …

… DG modules in … modules include Nasseh and Sather-Wagstaff's solution [7] to another major
conjecture in commutative algebra posed by Vasconcelos [12] about semidualizing modules…

… Let R be a Cohen-Macaulay local ring with a canonical module ω. Assume R admits a
nontrivial semidualizing module C, that is, C ≇ ω and C ≇ R; see [35, 2.3.2] for such an example. It …

… R-modules coincides with the class of thoses modules admitting a right resolution by …
Jrgensen, Semi-dualizing modules and related Gorenstein homological dimension, J. Pure Appl. …

… which describes some natural aspects of Matlis duality for CI-… induce isomorphisms on the
level of homology. Let X, Y ∈ P(… bC(R) with respect to every semidualizing R-complex C by [9, (…

… module $_{A}T$, we generalize the concepts of Auslander class, Bass class, and investigate
many homological … modules and a subclass of the class of $T$-adstatic modules. Finally, a …

… Gorenstein homological dimensions with respect to a semidualizing module have been widely
… dimension of modules with respect to a semidualizing module over a commutative ring. A …