… We also study a connection to the theory of semidualizing modules (see Corollary 3.8) and
use it … Freeness criteria for M/I M via (co)homology vanishing. We close the section providing …

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

… semidualizing module have been the subject of numerous studies with interesting extensions
of the classical homological … C without forfeiting the essential characteristics that make it an …

… 12] introduced the so-called semidualizing modules and related Auslander and Bass classes…
Let R and S be arbitrary rings and RCS a semidualizing bimodule, and let AC(S) and BC(R) …

… the homological dimensions and local cohomology modules … of the linkage with respect to
a semidualizing module [17] (see … From now on, we fix K as a semidualizing R-module. An R-…

… In this paper we develop the homological properties of the (L, A)Gorenstein flat R-modules
GF(F(R),A) proposed by Gillespie. Where the class A ⊆ Mod(Rop) sometimes corresponds to …

… In Section 4, we apply the results obtained to the category of modules. Let R, S be rings
and RCS a semidualizing bimodule. For a left R-module A, we prove that if either the C-…

… (non-necessarily semidualizing) left R-module C, we introduce … homological dimension with
respect to a semidualizing … the class of flat modules forms the left side of a perfect cotorsion …

… We begin with the notion of semidualizing modules. … of a module with respect to a fixed
semidualizing module. … its proof by replacing R by a semidualizing module C, it is necessary to …

… generated R-modules. In this paper, we study n-torsionfree modules in the sense of Auslander
and Bridger, by comparing them with n-syzygy modules, and modules satisfying Serre’s …