论文标题
超努力半群
Supernilpotent Semigroups
论文作者
论文摘要
常规的阿贝尔半群是阿贝尔群体和矩形带的直接产物的同构（Warne，1994）。为了寻求定期半群的尼尔氏，溶解性和超努力的类似结果，我们才能获得类似的陈述，只有在正统的半群中才是正确的。我们提供了一个示例，该示例表明，在不是正统的常规半群中，同样的示例不一定是正确的。
Regular abelian semigroups are isomorphic to a direct product of an abelian group and a rectangular band (Warne, 1994). Seeking for a similar result for nilpotency, solvability and supernilpotency of regular semigroups, we obtain that analogous statement is true only in orthodox semigroups. We provide an example that shows that the same does not have to be true in regular semigroups that are not orthodox.
