弱适当半群的研究

Studies on Weakly Adequate Simigroups

定义了r-弱适当半群、弱适当半群和基本弱适当半群,研究了这几类半群的基本性质和特征。特别地,给出了弱适当半群上一种重要同余,即含于广义格林关系H*～内的最大同余μ的一个刻画,该结果推广了J.B.Fountain于1979年建立的关于适当半群的一个结果。

Introducing the r-weakly adequate semi-groups, weakly adequate semi-groups and fundamental weakly adequate semi-groups, we investigate their characteristics and properties. In particular, the largest congruence contained in the Green relation on the weakly adequate semi-groups is given. This extends the result about the adequate semi-groups established by Fountain in 1979.