Bi-Ideals in Ordered Semigroups and Ordered Groups |
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| Authors: | N. Kehayopulu J. S. Ponizovskii M. Tsingelis |
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| Affiliation: | (1) Dept. of Math., University of Athens, Greece;(2) Russian State Hydrometeorological University, St.Petersburg;(3) University of Patras, Greece |
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| 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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