Prime bi-ideals in ternary semigroups
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2023-05-22 07:22
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SHABIR, Muhammad, BANO, Mehar. Prime bi-ideals in ternary semigroups . In: Quasigroups and Related Systems, 2008, vol. 16, nr. 2(20), pp. 239-256. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 16, Numărul 2(20) / 2008 / ISSN 1561-2848

Prime bi-ideals in ternary semigroups

Pag. 239-256

Shabir Muhammad, Bano Mehar
 
 
 
Disponibil în IBN: 14 decembrie 2013


Rezumat

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 dierent classes of ternary semigroups by the properties of their quasi-ideals and bi-ideals. We also characterize those ternary semi- groups for which each bi-ideal is strongly prime.

Cuvinte-cheie
Ternary semigroup, quasi-ideal, regular ternary semigroup, prime bi-ideal,

bi-ideal