首页> 中文期刊> 《黑龙江八一农垦大学学报》 >若干有向图的无穷小余代数的同调群的计算

若干有向图的无穷小余代数的同调群的计算

         

摘要

根据代数复形的同调群理论来研究其对偶的余代数的同调群,计算和证明了两类有向图的无穷小余代数的低阶同调群。得出了有向图的无穷小余代数的0阶同调群是以域K的顶点为基的线性空间;有向图的无穷小余代数的0阶和1阶同调群是平凡的。%According to the theory of algebraic complex homology group to research the homology group of its dual coalgebra,two types of low-order homology group for digraph infinitesimal coalgebra were calculated and proved. Finally,the conclusions about the digraph infinitesimal coalgebra were obtained. One was that its zero-order cohomology group was a linear space whose basis was the vertexes of domain K;the other was that its zero-order and first-order cohomology groups were trivial.

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