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A note on quasi and bi-duals in ternary semigroups. (English) Zbl 0828.20075
The authors prove that in ternary semigroups, quasi-ideals are bi-ideals but not conversely, where quasi-ideals are sets \(Q\) containing the intersection of \(QTT\), \(TQT\), \(TTQ\) and the intersection of \(QTT\), \(TTQTT\), \(TTQ\) for ternary semigroup \(T\), and biideals are sets \(B\) containing \(BTBTB\).

MSC:
20N10 Ternary systems (heaps, semiheaps, heapoids, etc.)
20M12 Ideal theory for semigroups
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