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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
##### Keywords:
ternary semigroups; quasi-ideals; bi-ideals
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