On residually finite semigroups of cellullar automata

Document Type: Ischia Group Theory 2014

Authors

1 Dipartimento di Ingegneria, Università del Sannio

2 IRMA

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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Main Subjects


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