We introduce a very general extension of the monomorphism category as studied by Ringel
and Schmidmeier which in particular covers generalized species over locally bounded …

Given a Frobenius pair in a module category, we describe how to construct Frobenius pairs
in some other important abelian categories, such as the category of complexes of modules …

We first introduce the notion of $ CM $-$\tau $-tilting free algebras as the generalization of $
CM $-free algebras and show the homological properties of $ CM $-$\tau $-tilting free …

Let XX be a contravariantly finite resolving subcategory of mod-\varLambda mod-Λ, the
category of finitely generated right\varLambda Λ-modules. We associate to XX the …

We introduce the notions of Gorenstein projective τ-rigid modules, Gorenstein projective
support τ-tilting modules and Gorenstein torsion pairs and give a Gorenstein analog to …

In this paper, we study resolving subcategories and singularity categories. First, if the left
perpendicular category of a module T over an Artin algebra A is the additive closure of …