On regularities in po-ternary semigroups
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KAR, Sukhendu, ROY, Agni, DUTTA, Indrani. On regularities in po-ternary semigroups. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 1(43), pp. 149-158. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 28, Numărul 1(43) / 2020 / ISSN 1561-2848

On regularities in po-ternary semigroups

CZU: 512.53+519.7

Pag. 149-158

Kar Sukhendu, Roy Agni, Dutta Indrani
 
Jadavpur University
 
 
Disponibil în IBN: 1 iunie 2020


Rezumat

In this paper, we show the way to get into some results of partially ordered (in short, po-) ternary semigroup based on quasi-ideals, bi-ideals and semiprime ideals. We extend some results of po-semigroup into po-ternary semigroup under certain methodology. In particular, we characterize some properties of regular po-ternary semigroup, left (resp. right) regular po-ternary semigroup, completely regular po-ternary semigroup and intra-regular po-ternary semigroup by using quasi-ideal, bi-ideal and semiprime ideal of po-ternary semigroup.