Acta mathematica scientia,Series B ›› 1997, Vol. 17 ›› Issue (2): 198-204.
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Zeng Xiangjin1, Jing Fengjie2
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Abstract: On the base of the construction of abundant semigroups with a normal mallal idempotent[14], in this paper we consider a class of naturally ordered abundant semigroups which satisfies the regularity condition and contains a greatest idempotent.Furthermore, we give a completely description of the overall structure of such ordered semigroups via the algebraic structure of them, which generalizes known result obtainedby Blyth and McFadden[3].
Key words: abundant semigroups, natural order, greatest idempotents
Zeng Xiangjin, Jing Fengjie. A CLASS OF NATURALLY ORDERED ABUNDANT SEMIGROUPS WITH A GREATEST IDEMPOTENT[J].Acta mathematica scientia,Series B, 1997, 17(2): 198-204.
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