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arXiv · 1410.5351

On Residually Finite Semigroups of Cellullar Automata

Tullio Ceccherini-Silberstein·Michel Coornaert
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Abstract

We prove that if $M$ is a monoid and $A$ a finite set with more than one element, then the residual finiteness of $M$ is equivalent to that of the monoid consisting of all cellular automata over $M$ with alphabet $A$.

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Tullio Ceccherini-Silberstein, Michel Coornaert. 2014-10-20. On Residually Finite Semigroups of Cellullar Automata. https://arxiv.org/abs/1410.5351

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