… In Section 3, we investigate the relation between semidualizing … the Bass class BC(R) induced
by a semidualizing bimodule … C is a semidualizing complex over R, the complex C ⊗R Γ is …

… Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an exact
… a given semidualizing module C, we study the C-Gorenstein flat dimension for complexes. …

… semidualizing modules. The main goal of this paper is to generalize the concept of canonical
modules for semidualizing … resolution for M whenever the following complex is exact: …

… Dualizing complexes were introduced in [30]. The more general semidualizing complexes
were defined in [23], based on special … The Bass class BC(R) consists of all the R-complexes …

… D R ̂ be a dualizing R ̂ -complex. A dualizing complex for φ is a semidualizing S-complex
D φ with the property that D R ̂ ⊗ R ̂ L ( S ̂ ⊗ S L D φ ) is a dualizing S ̂ -complex. If we …

Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. For R-modules
M and N, the notions grade P C ( M , N ) \documentclass[12pt]{minimal} \usepackage{…

… C a semidualizing (S, R)-bimodule. It is proven that (1) A left S-module M in Bass class is C-…
reflexive) left T-module; (2) A left S-module M in Bass class is C-Gorenstein projective if and …

… semidualizing module” is a central notion in relative homological algebra. The study of
semidualizing … class AC(R) and the Bass class BC(R), where C is a semidualizing R-module. The …

… semidualizing modules is that, when a semidualizing module is free? There are a lot of
results about this question. For instance, if a semidualizing … to every semidualizing module C. …

… The Poincaré series (Bass series) of M over R is defined by … Set R ‾ = R / I and let K be the
Koszul complex with respect to a … Let C be a semidualizing R-module of type r ≠ 1 . Let M be a …