Monounary algebras are the most simple type of an algebraic structure. Oriented graphs with one outgoing arrow from every vertex represent them. The aim of this paper is to point out the interdisciplinary relationships concerning this structure. Bernoulli shift is a paradigmatic mapping in dynamical systems. It is also called dyadic, bit shift, doubling or sawtooth. We offer a look at the properties of this mapping via monounary algebras.

中文翻译：

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伯努利位移的离散性质

一元代数是最简单的代数结构类型。每个顶点都有一个向外箭头的有向图代表它们。本文的目的是指出有关该结构的跨学科关系。伯努利位移是动力系统中的范式映射。它也称为二进位、位移位、加倍或锯齿波。我们通过一元代数来了解这种映射的属性。