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Bi-ideals in orthodox semigroups. (English) Zbl 0637.20036

A bi-ideal of a semigroup S is a subsemigroup B with BSB\(\subseteq B\). The author investigates the relations between bi-ideals of an orthodox semigroup S and of its band E of idempotents. The main theorem states that for any bi-ideal E’ of E, E’SE’ is the unique bi-ideal of S with band E’.
Reviewer: L.Márki

MSC:

20M12 Ideal theory for semigroups
20M10 General structure theory for semigroups
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