We show that in the category of preordered sets there is a natural notion of pretorsion theory, in which the partially ordered sets are the torsion-free objects and the sets endowed with an equivalence relation are the torsion objects. Correspondingly, it is possible to construct a stable category factoring out the objects that are both torsion and torsion-free.

中文翻译：

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推定理论，稳定类别和预定集

我们表明，在预排序集合的类别中，存在一个自然的扭转理论，其中部分排序的集合是无扭转对象，而赋予等价关系的集合是扭转对象。相应地，有可能构造出稳定的类别，从而排除了既扭转又没有扭转的物体。