English

The linear nature of pseudowords

Formal Languages and Automata Theory 2019-06-26 v2 Group Theory

Abstract

Given a pseudoword over suitable pseudovarieties, we associate to it a labeled linear order determined by the factorizations of the pseudoword. We show that, in the case of the pseudovariety of aperiodic finite semigroups, the pseudoword can be recovered from the labeled linear order.

Keywords

Cite

@article{arxiv.1702.08083,
  title  = {The linear nature of pseudowords},
  author = {Jorge Almeida and Alfredo Costa and José Carlos Costa and Marc Zeitoun},
  journal= {arXiv preprint arXiv:1702.08083},
  year   = {2019}
}

Comments

Addresses were added. A small correction at the introduction was made

R2 v1 2026-06-22T18:28:51.935Z