no. 1
The finiteness problem for monoids of morphisms
Honkala, Juha1 
1 Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 49 (2015) no. 1, pp. 61-65

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.

Reçu le :
Accepté le :
DOI : 10.1051/ita/2014028
Classification : 20M05, 68Q45
Keywords: Free monoid morphism, finiteness problem, decidability

Honkala, Juha 1

1 Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland 
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     title = {The finiteness problem for monoids of morphisms},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {61--65},
     year = {2015},
     publisher = {EDP Sciences},
     volume = {49},
     number = {1},
     doi = {10.1051/ita/2014028},
     mrnumber = {3342173},
     zbl = {1314.20045},
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     url = {https://www.numdam.org/articles/10.1051/ita/2014028/}
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Honkala, Juha. The finiteness problem for monoids of morphisms. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 49 (2015) no. 1, pp. 61-65. doi: 10.1051/ita/2014028

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