关于一类偏序富足半群的分解

On the Decomposition of A Class of Ordered Abundant Semigroups

Ｂｌｙｔｈ和ＭｃＦａｄｄｅｎ［１］给出具有最大幂等元的自然序正则半群的一种分解方法，Ｅｌ—Ｑａｌｌａｌｉ［３］推广此方法到一类准充足半群。本文进一步推广上述分解方法到一类满足正则性条件且含最大寨等元的自然序富足半群。

Blyth and McFadden [1] described a method for decomposing all naturally ordered regular semigroups with a greatest idempotent , and El-Qallali [3] extended that method to a class of quasi-adequate semigroups. In this paper, we further extend that method to a class of naturally ordered abundant semigroups which satisfies the regularity condition and contains a greatest idempotent.