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arXiv · 2208.05237

Commutators in Completely Simple Semigroups

Jelena Radović·Nebojša Mudrinski
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Abstract

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 $\mathcal{H}$-classes are nilpotent (solvable) groups.

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Jelena Radović, Nebojša Mudrinski. 2023-08-21. Commutators in Completely Simple Semigroups. https://arxiv.org/abs/2208.05237

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