论文标题
$ e $分离的半群
$E$-separated semigroups
论文作者
论文摘要
半群称为$ e $ - $ a的$，如果对于任何不同的diDempotents $ x，y \ in x $中的x $中存在同构$ h：x \ to y $ to y $ to y $ y $ y $ y $，以便$ h（x）\ ne h（y）$。开发Putcha和Weissglass的结果，我们通过$ x $的iDempotents的某些通勤属性来表征$ e $分离的半群。另外，我们还表征了$ e $分离的$π$ regular $ e $ e $ semigroups中的$ $分离的半群。
A semigroup is called $E$-$separated$ if for any distinct idempotents $x,y\in X$ there exists a homomorphism $h:X\to Y$ to a semilattice $Y$ such that $h(x)\ne h(y)$. Developing results of Putcha and Weissglass, we characterize $E$-separated semigroups via certain commutativity properties of idempotents of $X$. Also we characterize $E$-separated semigroups in the class of $π$-regular $E$-semigroups.
