右 (n+2)-angulated 类别公理

arXiv - MATH - Representation Theory Pub Date : 2024-09-09 DOI:arxiv-2409.05561

Jing He, Jiangsha Li

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引用次数: 0

摘要

我们从贝里吉安尼斯-马尔马里迪斯（Beligiannis-Marmaridis）和林（Lin）的著作中汲取灵感，细化了右$(n+2)$有角范畴的公理，并给出了一些这类范畴的例子。有趣的是，我们证明了右$(n+2)$有角范畴的态公理实际上是多余的。此外，我们还证明了高八面体公理等价于右$(n+2)$有棱类的映射锥公理。

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The axioms for right (n+2)-angulated categories

Drawing inspiration from the works of Beligiannis-Marmaridis and Lin, we refine the axioms for a right $(n+2)$-angulated category and give some examples of such categories. Interestingly, we show that the morphism axiom for a right $(n+2)$-angulated category is actually redundant. Moreover, we prove that the higher octahedral axiom is equivalent to the mapping cone axiom for a right $(n+2)$-angulated category.

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arXiv - MATH - Representation Theory

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