Victor Maltcev

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math.GR2008

Cayley automaton semigroups

Victor Maltcev

In this paper we characterize when a Cayley automaton semigroup is a group, is trivial, is finite, is free, is a left zero semigroup, or is a right zero semigroup.

math.GR2008

When are dual Cayley automaton semigroups finite?

Victor Maltcev

In this note we prove that, for a finite semigroup $S$ , the dual Cayley automaton semigroup $C^{*} (S)$ is finite if and only if $S$ is $H$ -trivial and has no…