On residually finite semigroups of cellullar automata

Document Type : Ischia Group Theory 2014


1 Dipartimento di Ingegneria, Università del Sannio



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 $A$‎.


Main Subjects

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Volume 4, Issue 2 - Serial Number 2
Proceedings of the Ischia Group Theory 2014-Part II.
June 2015
Pages 9-15
  • Receive Date: 20 October 2014
  • Revise Date: 05 May 2015
  • Accept Date: 05 May 2015
  • Published Online: 01 June 2015