Abstract
It is shown that an ordered semigroup is right and left simple if and only if it does not contain proper bi-ideals. An example showing that an ordered semigroup without proper bi-ideals need not be an ordered group is constructed. Bibliography: 7 titles.
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Kehayopulu, N., Ponizovskii, J.S. & Tsingelis, M. Bi-Ideals in Ordered Semigroups and Ordered Groups. Journal of Mathematical Sciences 112, 4353–4354 (2002). https://doi.org/10.1023/A:1020347003781
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DOI: https://doi.org/10.1023/A:1020347003781