English

The freeness problem over matrix semigroups and bounded languages

Discrete Mathematics 2013-04-08 v1 Combinatorics

Abstract

We study the freeness problem for matrix semigroups. We show that the freeness problem is decidable for upper-triangular 2×22\times 2 matrices with rational entries when the products are restricted to certain bounded languages.

Keywords

Cite

@article{arxiv.1304.1637,
  title  = {The freeness problem over matrix semigroups and bounded languages},
  author = {Émilie Charlier and Juha Honkala},
  journal= {arXiv preprint arXiv:1304.1637},
  year   = {2013}
}

Comments

17 pages

R2 v1 2026-06-21T23:54:25.607Z