Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584438 | Journal of Algebra | 2015 | 11 Pages |
Abstract
We prove that a Hom-finite additive category having determined morphisms on both sides is a dualizing variety. This complements a result by Krause. We prove that in a Hom-finite abelian category having Serre duality, a morphism is right determined by some object if and only if it is an epimorphism. We give a characterization to abelian categories having Serre duality via determined morphisms.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xiao-Wu Chen, Jue Le,