A complex (C, δ) is called strongly Gorenstein flat if C is exact and Ker δ n is Gorenstein flat
in R-Mod for all n∈ ℤ. Let 𝒮𝒢 stand for the class of strongly Gorenstein flat complexes. We …

We introduce a general version of the singular compactness theorem which makes it
possible to show that being a Σ Σ-cotorsion module is a property of the complete theory of …

We generalize the homological characterization of sequentially Cohen–Macaulay modules
over a graded Gorenstein algebra to sequentially reflexive modules over Noetherian, not …

In this paper we mainly study the homological properties of dual modules over k-Gorenstein
rings. For a right quasi k-Gorenstein ring Λ, we show that the right self-injective dimension of …

Let R be any associative ring, na positive integer and X a full subcategory of the category of
R-modules. The monomorphism category S n (X) of X consists of all the objects (X i, φ i) …

A new homological symmetry condition is exhibited that extends and unifies several recently
defined and widely used concepts. Applications include general constructions of tilting …

TILTING INVARIANCE OF THE AUSLANDER-REITEN CONJECTURE Jiaqun Wei 1.
Introduction Throughout this paper, we consider artin algebr Page 1 Math. Res. Lett. no. 1 …

In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …

Recently, the notion of Gorenstein AC-projective (resp., Gorenstein AC-injective) modules
was introduced in by which the so-called “Gorenstein AC-homological algebra” was …

Let Λ be a left and right noetherian ring and mod Λ the category of finitely generated left Λ-
modules. In this article, we show the following results.(1) For a positive integer k, the …