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

Let A and B be rings, U a (B, A)-bimodule, and T= A 0 UB the triangular matrix ring. In this
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …

In this paper, we first give a characterization of silting objects in the comma category Assume
that C1 and C2 are two subcategories of left R-modules, D1 and D2 be two subcategories of …

Let $ T $ be a right exact functor from an abelian category $\mathscr {B} $ into another
abelian category $\mathscr {A} $. Then there exists an abelian category, named comma …

This paper focuses on a question raised by Holm and J {\o} rgensen, who asked if the
induced cotorsion pairs $(\Phi ({\sf X}),\Phi ({\sf X})^{\perp}) $ and $(^{\perp}\Psi ({\sf Y}),\Psi …

Let R [P] be the one point extension of ak-algebra R by a projective R-module P. We prove
that the extension of a complete ideal cotorsion pair in R-Mod is still a complete ideal …