… semidualizing modules), we prove that the class of rings R in Theorem 4.1 are, which implies
in particular that there are no nontrivial semidualizing modules, or even complexes, over …

… of semidualizing … a semidualizing R-module. If (R, S, C) satisfies Property 3.3, then for any
homologically left-bounded R-complex M and any homologically right-bounded R-complex N, …

… of semidualizing modules is a generalization of that of dualizing modules, in fact, a dualizing
module is a semidualizing … (vi) For any given R-module M, a complex X is an augmented …

… advances on a question of Craig Huneke on growth of Bass numbers of local rings by
Sather-Wagstaff [17]. Despite the utility of semidualizing modules, very little is known about the set …

… Christensen [4] extended this notion to semidualizing complex… Recall from [28] that an
R-module C is called semidualizing if … More examples of semidualizing module can be found in [4, …

… the number of isomorphism classes of semidualizing modules … that the number of isomorphism
classes of semidualizing R-… Next, we document the Bass series and type of a non-trivial …

… From Definition 3.1, we know the semidualizing bimodule is faithfully balanced and self… He
proved that when C is a semidualizing complex over R, the complex C ⊗R Γ is semidualizing …

… We also prove that the Bass class with respect to a semidualizing module is one kind of VW
-Gorenstein category. The connections between VW -Gorenstein categories and Gorenstein …

… The more general semidualizing complexes originated in … Let C be a semidualizing R-complex
and \(X\in \mathcal {D}^{… The complex C is dualizing if and only if every R-complex in \(…

… linked with respect to S, where C and S are semidualizing modules such that C is in the Bass
class BS. We obtain generalizations of the results of [4, 5]. In most results, we work with two …