Let A be an artin algebra. An A-module M will be said to be semi-Gorenstein-projective
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …

In this paper, we obtain necessary and sufficient conditions for all complete projective
resolutions over a Morita ring Δ (0, 0)(A, B, M, N)= AANBBMAB. As special cases, we get a …

For two bimodules NBA and MAB with M⊗ AN= 0= N⊗ BM, the monomorphism category M
(A, M, N, B) and its dual, the epimorphism E (A, M, N, B), are introduced and studied. By …

We present and study the concept of m-periodic Gorenstein objects relative to a pair (A, B) of
classes of objects in an abelian category, as a generalization of m-strongly Gorenstein …

Let Δ (φ, ψ)=(AANBBMAB) be a Morita ring which is an Artin algebra. In this paper we
investigate the relations between the Gorenstein-projective modules over a Morita ring Δ (φ …

We generalize the monomorphism category from quiver (with monomial relations) to
arbitrary finite dimensional algebras by a homological definition. Given two finite dimension …

Full article: Ding projective modules over Morita context rings Skip to Main Content Taylor
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In this paper we show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

Let Δ 0, 0= AANBBMAB be a Morita ring such that the bimodule homomorphisms are zero. In
this paper, we give sufficient conditions for a Δ (0, 0)‐module (X, Y, f, g) to be Gorenstein …

This paper is to study cotorsion pairs and abelian model structures on some Morita
rings\$\Lambda=\left (\begin {smallmatrix} A & {} _AN_B {} _BM_A & B\end …