17 citations · 31 across the 7 of their papers we have counts for
7 papers
The generalized Auslander-Reiten duality on a module category
Pengjie Jiao
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 f…
Injective objects in the category of finitely presented representations of an interval finite quiver
Pengjie Jiao
We characterize the indecomposable injective objects in the category of finitely presented representations of an interval finite quiver.
Decompositions of locally finite endo-length modules over a skeletally small category
Pengjie Jiao
Given a skeletally small category , we show that any locally finite endo-length -module is the direct sum of indecomposable -modules, whose e…
Projective objects in the category of pointwise finite dimensional representations of an interval finite quiver
Pengjie Jiao
For an interval finite quiver , we introduce a class of flat representations. We classify the indecomposable projective objects in the category of pointwise fi…
Auslander's defect formula and a commutative triangle in an exact category
Pengjie Jiao
We prove Auslander's defect formula in an exact category, and obtain a commutative triangle involving the Auslander bijections and the generalized Auslander-Reiten duality.
The Auslander-Reiten duality via morphisms determined by objects
Pengjie Jiao, Jue Le
Given an exact category , we denote by the smallest additive subcategory containing injectives and indecomposable objects which appear as the first ter…
The generalized Auslander-Reiten duality on an exact category
Pengjie Jiao
We introduce a notion of generalized Auslander-Reiten duality on a Hom-finite Krull-Schmidt exact category . This duality induces the generalized Auslander-Reiten tran…