Let R be a ring with identity and C (R) denote the category of complexes of R-modules. In
this paper we study the homotopy categories arising from projective (resp. injective) …

Let R be a ring and let 𝒮𝒢ℱ be the class of strongly Gorenstein at right R-modules. We call a
right R-module M a weak Gorenstein cotorsion module if M is in the class 𝒮𝒢ℱ⊥. Properties …

Full article: Gorenstein projective modules via total complexes Skip to Main Content Taylor and
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Let R be a commutative Noetherian ring of Krull dimension d, and let a be an ideal of R. In
this paper, we will study the strong cotorsioness and the Gorenstein injectivity of the section …

We introduce the notion of totally reflexive extension of rings. It unifies Gorenstein orders
and Frobenius extensions. We prove that for a totally reflexive extension, a module over the …

Let T be a tilting module. In this paper, Gorenstein σ [T]-injective modules are introduced and
some of their basic properties are studied. Moreover, some characterizations of rings over …

To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

We show that every injective homological ring epimorphism f: R→ S where SR has flat
dimension at most one gives rise to a 1-cotilting R-module and we give sufficient conditions …

A characterization of n-cotilting and n-tilting modules Page 1 Journal of Algebra 273 (2004)
359–372 www.elsevier.com/locate/jalgebra A characterization of n-cotilting and n-tilting …

In this paper we study relative and Tate cohomology of modules of finite Gorenstein injective
dimension. Using these cohomology theories, we present variations of Grothendieck local …