… results of homological algebra to the relative setting with respect to a semidualizing module…
For instance, this has been done for the classical and Gorenstein homological dimensions …

Let S C R be a semidualizing bimodule with S left coherent and R right coherent… dimension
at most n if and only if every finitely presented right R -module has G C -projective dimension …

… semidualizing complexes and quasidualizing modules, respectively. The study of semidualizing
bimodules or complexes … Semidualizing bimodules or complexes and the corresponding …

… Our focus is on homological properties of contracting endomorphisms of R, eg, the Frobenius
… For instance, in this case, when R is F-finite and C is a semidualizing R-complex, we prove …

… CM-dimension to invariants of bounded complexes over a … G-dimension zero if and only
if R is a semi-dualizing module … that semi-dualizing modules enjoy the following properties. …

… C over a commutative noetherian ring R is semidualizing if … semidualizing complexes. Our
proof relies on certain aspects of deformation theory for DG modules over a finite dimensional …

… GC-projective and GC-injective dimension, and showed that they share many common
properties with the Gorenstein homological dimensions extensively studied in recent decades. …

… in two directions: the dualizing complex is replaced by a Cohen-Macaulay semi dualizing …
and the finite module is replaced by a complex with finite homology. Before we can even state, …

… finite complexes with respect to semidualizing complexes in … homomorphisms of finite flat
dimension, presented in terms of … Each of these works relies heavily on the homological tools …

Let R be a commutative ring and C a semidualizing R-module. In this article, we introduce
and investigate the notion of DC-projective complexes. We first prove that a complex X is DC-…