论文标题
完全简单的半群中的换向器
Commutators in Completely Simple Semigroups
论文作者
论文摘要
我们使用其REES矩阵表示，在完全简单的半群上获得了二进制换向器的表征。因此，我们证明且仅当它很简单时，常规的半群是nilpotent（可解决的），并且其所有$ \ Mathcal {h} $ - 类都是nilpotent（可解决的）组。
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.
