… a semidualizing (R, S)-bimodule C can be computed either by the GC -flat dimension of the
left R-modules or right S-modules… this subject from homological and homotopical aspects. We …

… homological dimensions are preserved under Frobenius extensions, which show that Gorenstein
homological … In this section, C S is always a semidualizing module. We denote Add M S …

… The following homological conjectures play a significant role … STR is referred to as a
semidualizing pS, Rq-bimodule if it … a Wakamatsu tilting module if and only if it is a semidualizing …

… From the notion of (co)generator in relative homological … by the finiteness of homological
dimensions relative to X and Y. … with a dualizing module D and a semidualizing module C. Other …

… modules with respect to a semidualizing bimodule RωS by using the properties of the (strong)
grade of modules. In [… of n-ω-cotorsionfree modules and adjoint n-ω-cotorsionfree modules …

… As stated in [5], a systematic emphasis on the study of morphisms was an innovative aspect
… semi-dualizing complex. Assume D is a perfect complex of left A-modules. For each M in Df …

… canonical module of R. In this paper, we consider a generalization of semidualizing modules,
called n-semidualizing modules. … {im} \alpha \) once we show that imα contains elements …

… Fossum, Griffith and Reiten studied the categorical aspect and homological … homological
algebra [4, 5, 6]. When R is a commutative Noetherian ring and M is a semi-dualizing R-module, …

… several important elements of the structure of the R-module M. A … In Section 4 we discuss
the homological degree, which was … We note that the canonical module is semidualizing. If R is …

… -projective modules, where C is a semidualizing module. However… in the relative (co)homology
groups. The first main result of … relative (co)homology groups (see Theorems 5.3 and 5.5). …