In this paper, inverses of matrices over zeon algebras are discussed and methods of computation are presented. As motivation the zeon combinatorial Laplacian of a simple finite graph is defined, and its inverse is shown to enumerate paths and cycles in its associated graph.

中文翻译：

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Zeon 矩阵逆和 Zeon 组合拉普拉斯算子

在本文中，讨论了 zeon 代数上的矩阵求逆，并提出了计算方法。作为动机，定义了简单有限图的 zeon 组合拉普拉斯算子，并显示其逆以枚举其关联图中的路径和循环。