Morphisms Determined by Objects in Triangulated Categories

Morphisms Determined by Objects in Triangulated Categories
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DOI:
10.1007/978-3-642-39485-0_9
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发表时间:
2011-10
期刊:
arXiv: Category Theory
影响因子:
--
通讯作者:
H. Krause
H. Krause
中科院分区:
其他
文献类型:
--
作者:
H. Krause

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由对象决定的无定形概念提供了一种在固定范畴中构造或分类态射的方法。我们表明,这尤其适用于具有塞尔对偶的三角范畴。这个概念的另一个应用来自于Freyd的生成假设的重新表述。
The concept of amorphism determined by an objectprovides a method to construct or classify morphisms in a fixed category. We show that this works particularly well for triangulated categories having Serre duality. Another application of this concept arises from a reformulation of Freyd’s generating hypothesis.