Induced orders in free monoids of words
Combinatorics
2020-08-14 v1
Abstract
A family of partial orders in the free monoid of words, induced from a partial order in alphabet, is presented. The induced orders generalize the chronological posets that have been defined for the two-letter alphabet only, and the morphological order. We show that the induced orders are natural with respect to alphabet homomorphisms.
Keywords
Cite
@article{arxiv.2008.05688,
title = {Induced orders in free monoids of words},
author = {Jerzy Kocik},
journal= {arXiv preprint arXiv:2008.05688},
year = {2020}
}
Comments
10 pages, 6 figures