On residually finite semigroups of cellullar automata

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 ‎.

Bibliographic Details
Main Authors: Tullio Ceccherini-Silberstein, Michel Coornaert
Format: Article
Language:English
Published: University of Isfahan 2015-06-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/pdf_9371_d9d2ea9f8888eea71e9b2c32637ec037.html