关于+-富足半群

文章引入另一种新的等价关系，称为＋－格林关系，进一步给出（左、右）＋－理想的概念。讨论了＋－格林关系，（左、右）＋－理想的一系列性质。利用＋－格林关系这个工具，我们研究了一类半群，如果半群S的每个元素的L^ －类和R^ －类均含有S的子半群S^0的一个幂等元，。则S称为＋－富足半群。给出它的一个等价刻划。最后，还讨论了一类特殊的＋－富足半群，称为C＋－富足半群。给出它的一个等价刻划。

On + - Abundant Semigroups

In this paper, We introduce another new equivalences, +-Green ,s relation on semigroups. Moreover, the concept of (left, right)+-ideal is given. We discuss some properties of +-Green ,s relations and (left, right)+-ideals. By using +-Green ,s relation, we study a class of semigroups that is called +-abundant semigroups, if each L +-class and each R +-class contains an idempotent in subsemigroup S 0 of semigroup S. We obtain the condition of equivalence of +-abundant semigroups. Finally, we discuss a specific +-abundant semigroups that is called C +-abundant semigroups. We give the characterization of C +-abundant semigroups.