高秩图的一个推广

摘要：

我们引入我们所谓的“广义高阶$k$ -图”作为一类类别配备了大小的概念。它们不仅扩展了更高秩的$k$ -图，而且还扩展了第一作者所引入的Levi范畴作为群图的范畴集。我们证明了广义高阶$k$ -图的例子可以用群胚和高阶图的Zappa-Szép积来构造。

英文摘要：

We introduce what we call `generalized higher rank $k$-graphs' as a class of categories equipped with a notion of size. They extend not only the higher rank $k$-graphs, but also the Levi categories introduced by the first author as a categorical setting for graphs of groups. We prove that examples of generalized higher rank $k$-graphs can be constructed using Zappa-Szép products of groupoids and higher rank graphs.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。