We study IE-closed subcategories of a module category, subcategories which are closed
under taking Images and Extensions. We investigate the relation between IE-closed …

We introduce a generalization of tilting modules of finite projective dimension, projectively
Wakamatsu tilting modules, which are self-orthogonal and Ext-progenerators in their Ext …

In this paper we study the Cartan matrix associated to the Ext-projective stratifying system
induced by a basic and τ-rigid object M in mod (A) by means of the g-vectors of the …

We introduce a relative tilting theory in abelian categories and show that this work offers a
unified framework of different previous notions of tilting, ranging from Auslander-Solberg …

Let Γ and Λ be artin algebras such that Γ is a split-by-nilpotent extension of Λ by a two sided
ideal I of Γ. Consider the change of rings functors G:= ΓΓΛ⊗ Λ− and F:= ΛΛΓ⊗ Γ−. In this …

Let k be a commutative algebra with ℚ⊆ k and let (E, p, i) be a cleft extension of A. We
obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and …