Title
The homomorphism problem for the free monoid
Abstract
It is proved to be decidable, for any given finite subset F of X* and mapping φ:F* → X*, whether or not φ can be extended to an (injective) monoid homomorphism φ:F* → X*. As a corollary, an alternative algorithm for the isomorphism problem for the free monoid is also provided: for any given finite subsets F, G of X*, it is decidable whether or not F* ≃ G*.
Year
DOI
Venue
2002
10.1016/S0012-365X(02)00380-1
Discrete Mathematics
Keywords
Field
DocType
free monoid,finite subsets f,isomorphism problem,20m05,decidability,isomorphism,finite subset f,homomorphism problem,homomorphism,68r15,monoid homomorphism,alternative algorithm
Discrete mathematics,Combinatorics,Injective function,Group theory,Decidability,Monoid,Isomorphism,Syntactic monoid,Homomorphism,Free monoid,Mathematics
Journal
Volume
Issue
ISSN
259
1-3
Discrete Mathematics
Citations 
PageRank 
References 
1
0.40
3
Authors
1
Name
Order
Citations
PageRank
Pedro V. Silva114129.42