论文标题
使用前自由主义者对网络中的信息流进行建模的类别理论方法
A category theory approach using preradicals to model information flows in networks
论文作者
论文摘要
类别理论最近被用作构建和建模信息流框架的工具。在这里，我们表明可以使用前自由主义者描述信息流。我们证明，在基础结构形成有向的无环图的空间中，前自由基概括了持久性的概念。我们表明，特定的$α$预性描述了与定向无环图相关的交换$ g $模块的持久性。此外，鉴于原始人如何定义，它们能够保留建模系统的基础结构。这使我们能够概括标准持久性，锯齿形持久性和多向持久性的概念。
Category theory has been recently used as a tool for constructing and modeling an information flow framework. Here, we show that the flow of information can be described using preradicals. We prove that preradicals generalize the notion of persistence in spaces where the underlying structure forms a directed acyclic graph. We show that a particular $α$ preradical describes the persistence of a commutative $G$-module associated with a directed acyclic graph. Furthermore, given how preradicals are defined, they are able to preserve the modeled system's underlying structure. This allows us to generalize the notions of standard persistence, zigzag persistence, and multidirectional persistence.
