Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …

Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, we impose
various conditions on C to be dualizing. For example, as a generalization of Xu [21 …

In this paper, we introduce and study the notion of linkage of modules by reflexive
homomorphisms. This notion unifies and generalizes several known concepts of linkage of …

Let $ R $ be a Noetherian ring and let $ C $ be a semidualizing $ R $-module. In this paper,
we are concerned with the tensor and torsion product of $ C $-injective modules. Firstly, it is …

Let R be a commutative ring and C a semidualizing R-module. For a non-negative integer n,
we study a natural generalization of copure injective (flat) modules by introducing the …

Remarks on dimensions of triangulated categories - ScienceDirect Skip to main contentSkip
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Let R be a commutative ring. We define and study f-projective modules with respect to a
semidualizing R-module C, which are called C–f-projective modules. As consequences, we …

Let S and R be two associative rings, SCR be a faithfully balanced (S, R)-bimodule. We
introduce and investigate properties of∞-torsionfree modules with respect to SCR, which …

Full article: Auslander Class, GC , and C–projective Modules Modulo Exact Zero-divisors Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …

Let R be a commutative Noetherian ring and let I be a semidualizing ideal of R. In this paper,
it is shown that the GI-projective, GI-injective, and GI-flat dimensions agree with Gpd R⊳⊲ I …