… modules relative to a not necessarily semidualizing module C and we find conditions for the
class of G C -projective modules … S ) -bimodule. The category of all left (right if necessary) R -…

… We study the following question: Given two semidualizing complexes B and C over a … case
of semidualizing modules. For a discussion of the translation from complexes to modules, see […

… (B,A)-bimodules with respect to a T-module of the … respect to a module C satisfying significantly
less restrictive conditions than semidualizing modules: we will call these new modules w+…

… 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 …

… 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]. …

… 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). …

… modules with respect to a semidualizing module C to arbitrary modules over arbitrary rings,
with respect to a module … in the sense of Wakamatsu [Wak04] and semidualizing bimodules …

… 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 …

… modules with respect to a semidualizing module C to arbitrary modules over arbitrary rings,
with respect to a module … in the sense of Wakamatsu [Wak04] and semidualizing bimodules …