English

Knuth-Bendix algorithm and the conjugacy problems in monoids

Group Theory 2024-12-04 v1

Abstract

We present an algorithmic approach to the conjugacy problems in monoids, using rewriting systems. We extend the classical theory of rewriting developed by Knuth and Bendix to a rewriting that takes into account the cyclic conjugates.

Cite

@article{arxiv.1012.3547,
  title  = {Knuth-Bendix algorithm and the conjugacy problems in monoids},
  author = {Fabienne Chouraqui},
  journal= {arXiv preprint arXiv:1012.3547},
  year   = {2024}
}

Comments

This is a new version of the paper 'The conjugacy problems in monoids and semigroups'. This version will appear in the journal 'Semigroup forum'

R2 v1 2026-06-21T16:59:37.393Z