论文标题
局部单调单体动作的添加定理
The addition theorem for locally monotileable monoid actions
论文作者
论文摘要
我们证明了一个所谓的添加定理的实例，用于取消权利的动作的代数熵。 $ f_n $是$ f_ {n+1} $的单一单位，对于\ mathbb n $中的每个$ n \）。我们详细研究了本地单调的类别的类别，也与魏斯（Weiss）引入的群体的现有单调性概念相关，最近由其他作者进一步开发。
We prove an instance of the so-called Addition Theorem for the algebraic entropy of actions of cancellative right amenable monoids $S$ on discrete abelian groups $A$ by endomorphisms, under the hypothesis that $S$ is locally monotileable (that is, $S$ admits a right Følner sequence $(F_n)_{n\in\mathbb N}$ such that $F_n$ is a monotile of $F_{n+1}$ for every $n\in\mathbb N$). We study in details the class of locally monotileable groups, also in relation with already existing notions of monotileability for groups, introduced by Weiss and developed further by other authors recently.
