IMCS/Publications/QRS/Issues/QRS v.16, n.2 (20), 2008/

Prime bi-ideals in ternary semigroups

Authors: M. Shabir and M. Bano


We introduced the notions of prime, semiprime and strongly prime bi-ideals in ternary semigroups. The space of strongly prime bi-ideals is topologized. We characterize different classes of ternary semigroups by the properties of their quasi-ideals and bi-ideals. We also characterize those ternary semigroups for which each bi-ideal is strongly prime.


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