Miccoli, Maria Maddalena Bi-ideals in orthodox semigroups. (English) Zbl 0637.20036 Note Mat. 7, No. 1, 83-89 (1987). 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 Cited in 1 Document MSC: 20M12 Ideal theory for semigroups 20M10 General structure theory for semigroups Keywords:bi-ideals; orthodox semigroup; idempotents PDFBibTeX XMLCite \textit{M. M. Miccoli}, Note Mat. 7, No. 1, 83--89 (1987; Zbl 0637.20036)