The generalized Auslander-Reiten duality on a module category

Abstract

We characterize the generalized Auslander--Reiten duality on the category of finitely presented modules over some certain Hom-finite category. Examples include the category FI of finite sets with injections, and the one VI of finite dimensional vector spaces with linear injections over a finite field.

final version

References in corpus (5)

• Noetherian property of infinite EI categories
• The generalized Auslander-Reiten duality on an exact category
• $\mathrm{VI}$ modules in non-describing characteristic, Part I
• Injective objects in the category of finitely presented representations of an interval finite quiver
• Projective objects in the category of pointwise finite dimensional representations of an interval finite quiver