论文标题
体重结构的心脏是虚弱的完整类别
The hearts of weight structures are the weakly idempotent complete categories
论文作者
论文摘要
在本说明中，我们证明，作为体重结构心脏的心脏的加性类别恰恰是弱愿意的完成模式，即所有分裂单态都会直接分解的类别。我们还提供了相当于弱的完整性（其中有些是全新的）的其他几个条件，并讨论了添加剂类别的弱势完成。
In this note we prove that additive categories that occur as hearts of weight structures are precisely the weakly idempotent completecategories, that is, the categories where all split monomorphisms give direct sum decompositions. We also give several other conditions equivalent to weak idempotent completeness (some of them are completely new), and discuss weak idempotent completions of additive categories.
