… C is a semidualizing R-module. The notion of C-injective (C-projective, C-flat… modules is
important for the study of the relative homological algebra with respect to semidualizing modules…

… R-module C is called a semidualizing module whenever χ C is … module of a Cohen–Macaulay
local ring are semidualizing … By tensoring both side with C, we get ( M ⊗ R C ) ⊗ R ω R ≅ ω …

… To describe how Gorenstein homological algebra should work for general rings, the
authors of [2] … Homological aspects of semidualizing modules. Math. Scand 106(1), 5–22 (2010) …

… a semidualizing module over any commutative ring R. We investigate the semidualizing
module C … of all Rmodules and the supremum of the C-Gorenstein injective dimensions of all R-…

… for the Gorenstein homological dimensions with respect to a semidualizing bimodule (see …
-module generated by the elements of X and Fα the free S-module generated by the elements …

… perspective: that of homotopical aspect. In particular, from the … homological properties, which
are known to hold over noetherian or coherent rings with respect to a semidualizing module…

… The homological position of a complex is captured by the numbers supremum and infimum
defined by sup X = sup{i ∈ Z | Hi(X) = 0} and inf X = inf{i ∈ Z | Hi(X) = 0}. By convention sup X …

… The homological properties with respect to semidualizing … On the other hand, cotorsion (and
flat) modules have turned … flat cotorsion modules with respect to semidualizing modules and …

… notion of semidualizing modules, namely quasidualizing modules. An Artinian R-module T
is … We denote the class of semidualizing and quasidualizing R-modules by S0(R) and Q0(R), …

… a semidualizing bimodule. For a subclass T of the class of ω-coreflexive modules and n ≥ 1,
we introduce and study modules of ω-… conjecture is an important homological conjecture in …