… semidualizing modules has been recognized as one of the cornerstones of relative homological
… situations, and therefore, due to their interesting features, they are worthy to investigate (…

… 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 …

… 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 notion of semidualizing module has become a central object in homological algebra
since its … Among various research areas on semidualizing modules, one basically focuses on …

… 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 …

… In [11], the authors showed that how a semidualizing module C gives rise to three new relative
homological … Also, we give some homological properties of (R ⊳⊲ I)-modules, where I is a …

… weaken the condition of C being semidualizing: if we let C … modules relative to a not
necessarily semidualizing module C and we find conditions for the class of G C -projective modules …

… ({\text {Tor}}^{R}_{1}(M,F)=0\)) for every super finitely presented R-module F. The notion of
a “semidualizing module” is a central notion in relative homological algebra. This notion was …

… semidualizing modules”, see [8]. Since then, significant research has been conducted on the
homological properties, homological … ring and generated by four elements tm1 , tm2 , tm3 , …