论文标题
Ind-Completions和最高重量类别的某些同源特性
Some homological properties of ind-completions and highest weight categories
论文作者
论文摘要
我们证明了较低有限的最高权重类别的两个定义之间的等效性。我们还表明，在二重性的情况下，类别上有限的最高权重结构是独一无二的。最后，我们给出了一个新的证据，证明任何阿贝利安类别都在其IND-COLLTITION中均已扩展。
We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structure on a category is unique. Finally, we give a new proof for the fact that any abelian category is extension full in its ind-completion.
