Morphisms determined by objects and flat covers

Morphisms determined by objects and flat covers
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DOI:
10.1515/forum-2014-0115
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发表时间:
2014-03
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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我们描述了在加性范畴中构造态射的过程,将 Auslander 的由对象确定的态射概念与平面覆盖的存在相结合。此外,我们还展示了如何将平面覆盖转变为射影覆盖,并用伴随函子来解释这些结构。
We describe a procedure for constructing morphisms in additive categories, combining Auslander's concept of a morphism determined by an object with the existence of flat covers. Also, we show how flat covers are turned into projective covers, and we interprete these constructions in terms of adjoint functors.