4 papers
Deriving Milnor's theorem on pullback rings
Xiao-Wu Chen, Jue Le
The classical theorem of Milnor on pullback rings states that the category of projective modules over a pullback ring is equivalent to a certain category of gluing triples consisti…
Recollements, comma categories and morphic enhancements
Xiao-Wu Chen, Jue Le
For each recollement of triangulated categories, there is an epivalence between the middle category and the comma category associated to a triangle functor from the category on the…
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 Auslander-Reiten formula for complexes of modules
Henning Krause, Jue Le
An Auslander-Reiten formula for complexes of modules is presented. This formula contains as a special case the classical Auslander Reiten formula. The Auslander-Reiten translate of…