论文标题

将简单的藏品粘合在三角类别中

Gluing simple-minded collections in triangulated categories

论文作者

Sun, Yongliang, Zhang, Yaohua

论文摘要

我们提供了一种技术,可以将简单的集合胶合在一个领域的Hom-Finite Krull-Schmidt三角类别的回忆中。这种用于简单的收藏的胶合技术与文献中粘合有限的$ t $结构,淤积对象和共同结构的胶合兼容。此外,它还享有保留部分秩序并通过突变操作通勤的特性。

We provide a technique to glue simple-minded collections along a recollement of Hom-finite Krull-Schmidt triangulated categories over a field. This gluing technique for simple-minded collections is shown to be compatible with those for gluing bounded $t$-structures, silting objects, and co-$t$-structures in the literature. Furthermore, it also enjoys the properties of preserving partial order and commuting with the operation of mutation.

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