… 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-…

… module ωR then we investigate the case M = ωR, particularly via the R-dual HomR(ωR,R),
the so-called anticanonical module … suitable homological dimensions of the R-module HomR(…

… (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 …

… As an application of Theorem (A), we provide some criteria for a semidualizing complex
C to be dualizing in terms of the existence of certain complexes of finite GC-dimension; see …

… In [4], Fossum et al. studied the categorical aspect and homological properties of the
trivial … RM-modules when R is a commutative Noetherian ring and M is a semi-dualizing R-module. …

… 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 …

… The purpose of this paper is to survey recent algebraic and homological properties of the …
In this paper, we survey briefly recent algebraic and homological properties of the …

… that if a semidualizing module C has a canonical module and belongs … side is isomorphic
to HomR(N,ωC) ⊗R R/xR. Again by [4, Proposition 3.3.3], we conclude that the right-hand side …

… are common generalizations of dualizing modules and free modules of rank one. Foxby […
the study of semidualizing modules under different names. A semidualizing module C induces …

… Let C be a semidualizing module of R, and let C(R) and C(R) denote, respectively, the …
consisting of R-complexes X with finitely generated homology modules. In addition, we feel free to …