A note on morphisms determined by objects
Representation Theory
2015-02-10 v1 Rings and Algebras
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
Cite
@article{arxiv.1311.1854,
title = {A note on morphisms determined by objects},
author = {Xiao-Wu Chen and Jue Le},
journal= {arXiv preprint arXiv:1311.1854},
year = {2015}
}