Dense semigroups of triangular matrices

2017/07/19 by Mohammad Javaheri, Javaheri, Mohammad
Computer Science · Decision Sciences · Mathematics · #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Fuzzy and Soft Set Theory #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1707.06293

openalex publication_date 2017/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathbbK=ℝ or ℂ, and T_n(\mathbbK) be the set of n× n lower triangular matrices with entries in \mathbbK. We show that T_n(\mathbbK) has dense subsemigroups that are generated by n+1 matrices.

Related

• Maximally transitive semigroups of n× n matrices
• Semigroups of matrices with dense orbits
• Dense 2-generator subsemigroups of 2× 2 matrices
• A dense subset of M_n(ℝ) containing diagonalizable matrices
• Matrix semigroups over semirings