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