A note on morphisms determined by objects
A note on morphisms determined by objects
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DOI：
10.1016/j.jalgebra.2015.01.010
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发表时间：
2013-11
影响因子：
0.9
通讯作者：
Xiao-Wu Chen;J. Le
中科院分区：
文献类型：
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作者：
Xiao-Wu Chen;J. Le
证明了两边都有确定态射的Hom有限可加范畴是对偶簇。这补充了Krause的一个结果。证明了在具有Serre对偶的Hom有限阿贝尔范畴中，态射是由某个对象右确定的当且仅当它是满态射。利用确定态射刻画了具有Serre对偶的交换范畴。
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.