We investigate several homological aspects of recollements of abelian categories. In
particular, we study how various homological invariants and dimensions of the categories …

We establish a correspondence between recollements of abelian categories up to
equivalence and certain TTF-triples. For a module category we show, moreover, a …

In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …

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 …

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 …

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 …

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 …

Under semi-weak and weak compatibility conditions of bimodules, we establish necessary
and sufficient conditions of Gorenstein-projective modules over rings of Morita contexts with …

In this article, we prove that, under certain conditions, Morita context algebras that arise from
Igusa-Todorov (LIT) algebras and have zero bimodule morphisms are also Igusa-Todorov …

Abstract Let Λ _ (0, 0)=\left (A\;\;\;\;\;\;\; _A N_B _B M_A\;\;\;\; B\cr\right) Λ (0 0)=(AANBBMAB)
be a Morita ring, where the bimodule homomorphisms ϕ and ψ are zero. We study the finite …