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On bi-ideals of semigroups. (English) Zbl 1165.20321
Summary: Some known background results of bi-ideals for our studies are introduced. Then we give some characterizations of (0-)minimal and maximal bi-ideals in semigroups analogous to the characterizations of minimal and maximal left ideals in ordered semigroups considered by Y. Cao and X. Xu [Semigroup Forum 60, No. 2, 202-207 (2000; Zbl 0945.06009)].

MSC:
20M12 Ideal theory for semigroups
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References:
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