Abstract

In this paper, we present necessary and sufficient conditions for an additive derivation of an incidence algebra of a connected finite partially ordered set X to be inner. These conditions are related to the structure of X as a directed graph and can be applied for finite partially ordered sets that are not connected or even for some that are not finite.

中文翻译：

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入射代数的加法导数

摘要

在本文中，我们为连通有限的部分有序集X为内部的入射代数的加法导出提供了充要条件。这些条件与作为有向图的X的结构有关，并且可以应用于未连接的有限局部有序集，甚至可以应用于某些非有限集。