Abstract For each positive integer n we introduce the notion of n-exangulated categories as higher dimensional analogues of extriangulated categories defined by Nakaoka–Palu. We characterize which n-exangulated categories are n-exact in the sense of Jasso and which are ( n + 2 ) -angulated in the sense of Geiss–Keller–Oppermann.

中文翻译：

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n-exangulated类别（I）：定义和基本属性

摘要 对于每个正整数 n，我们引入了 n-exangulated 类别的概念作为 Nakaoka-Palu 定义的 extriangulated 类别的更高维类似物。我们描述了哪些 n-exangulated 类别在 Jasso 的意义上是 n-exact 的，哪些是 (n+2)-angulated 在 Geiss-Keller-Oppermann 意义上的。