A1 Refereed original research article in a scientific journal
Commuting Upper Triangular Binary Morphisms
Authors: Honkala, Juha
Publisher: IOS Press BV
Publication year: 2024
Journal: Fundamenta Informaticae
Journal name in source: Fundamenta Informaticae
Volume: 191
Issue: 3-4
First page : 285
Last page: 298
ISSN: 0169-2968
eISSN: 1875-8681
DOI: https://doi.org/10.3233/FI-242183(external)
Web address : https://doi.org/10.3233/FI-242183(external)
Self-archived copy’s web address: https://arxiv.org/pdf/2302.06158(external)
Preprint address: https://arxiv.org/abs/2302.06158(external)
Abstract
A morphism g from the free monoid X∗ into itself is called upper triangular if the matrix of g is upper triangular. We characterize all upper triangular binary morphisms g1 and g2 such that g1g2 = g2g1.
A morphism g from the free monoid X∗ into itself is called upper triangular if the matrix of g is upper triangular. We characterize all upper triangular binary morphisms g1 and g2 such that g1g2 = g2g1.