2022/08/10 by Jelena Radović, Radović, Jelena, Nebojša Mudrinski +1 · 1 citation
Computer Science · Mathematics · #08A30 #20M17 #Advanced Algebra and Logic #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2208.05237
openalex publication_date 2022/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain a characterization of the binary commutator on completely simple semigroups, using their Rees matrix representation. Consequently, we prove that a regular semigroup is nilpotent (solvable) if and only if it is simple, and all its H-classes are nilpotent (solvable) groups.