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math.GR2024
Strongly sofic monoids, sofic topological entropy, and surjunctivity
Tullio Ceccherini-Silberstein, Michel Coornaert, Xuan Kien Phung
We introduce the class of strongly sofic monoids. This class of monoids strictly contains the class of sofic groups and is a proper subclass of the class of sofic monoids. We defin…
math.RA2024
Stable finiteness of monoid algebras and surjunctivity
Tullio Ceccherini-Silberstein, Michel Coornaert, Xuan Kien Phung
A monoid is said to be surjunctive if every injective cellular automaton with finite alphabet over is surjective. We show that monoid algebras of surjunctive monoids are st…