有向图上的微分代数与参数化同调
Differential algebras on digraphs and parametrized homology
AI总结：
本文定义有向图的参数化同调作为路径同调的类比，并证明其函数性及Kunneth型公式。
摘要：
有向图的路径同调理论由 Alexander Grigor'yan、Yong Lin、Yuri Muranov 和 Shing-Tung Yau 发展。本文考虑有向图上的微分代数，并定义有向图的参数化同调作为路径同调的类比。我们在定理4.2中证明了有向图参数化同调的函数性。我们还在定理4.4中证明了有向图参数化同调的一些Kunneth型公式。
英文摘要：
The theory of path homology for digraphs was developed by Alexander Grigor'yan, Yong Lin, Yuri Muranov, and Shing-Tung Yau. In this paper, we consider the differential algebras on digraphs and define the parametrized homology of digraphs as an analog of the path homology. We prove the functoriality of the parametrized homology of digraphs in Theorem 4.2. We also prove some Kunneth-type formulae for the parametrized homology of digraphs in Theorem 4.4.
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。
