论文标题
逆向半群中的阿布尔和中心性
Abelianness and centrality in inverse semigroups
论文作者
论文摘要
我们将普遍代数的阿贝尔语和中心性的抽象概念调整为反向半群的背景。我们根据相应的一致对表征了阿贝利安和中央的一致性。我们将核心与反向半群中的共轭联系起来。随后，我们证明可溶解和nilpotent的反向半群是组。
We adapt the abstract concepts of abelianness and centrality of universal algebra to the context of inverse semigroups. We characterize abelian and central congruences in terms of the corresponding congruence pairs. We relate centrality to conjugation in inverse semigroups. Subsequently we prove that solvable and nilpotent inverse semigroups are groups.
