… a kind of situation that some special modules in \(\mathcal {G}(\… injective) modules in the
above respective modules? In this … notations and basic properties of a semidualizing bimodule. …

… called Wakamatsu tilting modules; see [3, 16]. Note that a bimodule C S R is semidualizing
if and only if it is … For examples of semidualizing bimodules, the reader is referred to [11, 19]. …

… In particular, we prove for a semidualizing complex C, if there exists a complex with finite …
using a semidualizing R-module. A finitely generated R-module C is semidualizing if R ∼= …

… a semidualizing (R, S)-bimodule. As applications of the above result, we get that if S is right
coherent and C is faithfully semidualizing… semidualizing bimodule; all semidualizing modules …

… class with respect to a semidualizing bimodule SCR, respectively. Let R be a commutative …
-Gorenstein modules. If R is a right coherent ring and C is a faithfully semidualizing bimodule, …

… We extend the definition of a semidualizing module to … Bass classes with respect to a
semidualizing bimodule C. We … and injective modules with respect to a semidualizing bimodule C …

… w-tilting (tilting, semidualizing) over T using w-tilting (tilting, semidualizing) over A and B
under … We introduce (weakly) C-compatible ( B , A ) -bimodules for a T-module C (Definition 4). …

… be a semidualizing bimodule. We prove that there exists a Morita equivalence between the
class of ∞-ω-cotorsion-free modules and a subclass of the class of ω-adstatic modules. Also, …

… and C-weak flat modules with respect to a semidualizing bimodule C, and prove that the …
left R-modules and the Bass class BC(S) contains all weak injective left S-modules. We show …

… (non-necessarily semidualizing) left R-module C, … semidualizing (R, S)-bimodule, we investigate
the existence of abelian model structures on the category of left (resp., right) R-modules …