局部可单瓦幺半群作用的加法定理
The addition theorem for locally monotileable monoid actions
摘要：
在$S$是局部monotileable（即$S$允许一个右Følner序列$(F_n)_{n\in\mathbb N}$，使得对于每个$n\in\mathbb N$，$F_n$是$F_{n+1}$的monotile）的假设下，我们通过自同态证明了离散阿贝尔群群$A$上可消右顺从幺半群$S$作用的代数熵的所谓加法定理的一个例子.我们详细研究了类的局部monotileable组，也与已经存在的概念monotileability的群体，介绍了魏斯和其他作者最近进一步发展。
英文摘要：
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.
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