Juha Honkala
Abstract
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We study finitely generated monoids consisting of endomorphisms of a free monoid. We give a necessary and sufficient condition for such a monoid to be infinite and show that this condition is decidable. As a special case we discuss the morphism torsion problem.
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We study finitely generated monoids consisting of endomorphisms of a free monoid. We give a necessary and sufficient condition for such a monoid to be infinite and show that this condition is decidable. As a special case we discuss the morphism torsion problem.
Key concepts: Morphism, Monoid, Endomorphism, Decidability, Free monoid, Mathematics, Syntactic monoid, Torsion (gastropod)