We study how to obtain partial matchings using the block function ${\mathcal{M}}_f$, induced by a morphism f between persistence modules. ${\mathcal{M}}_f$ is defined algebraically and is linear with respect to direct sums of morphisms. We study some interesting properties of ${\mathcal{M}}_f$, and provide a way of obtaining ${\mathcal{M}}_f$ using matrix operations.

中文翻译：

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由持久性模块之间的态射引起的部分匹配

我们研究如何使用 block 函数获得部分匹配${\mathcal{米}}_F$, 由持久性模块之间的态射f引起。${\mathcal{米}}_F$是代数定义的，并且相对于态射的直和是线性的。我们研究了一些有趣的性质${\mathcal{米}}_F$, 并提供获取方式${\mathcal{米}}_F$使用矩阵运算。