Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups

Yıl 2015, Cilt: 44 Sayı: 2, 247 - 254, 01.04.2015

M. Y. Abbasi Abul Basar

Öz

In this paper, we introduce ordered (generalized) (m, n)-Γ-ideals in po-Γ-semigroups. Then we characterize the po-Γ-semigroup through ordered (generalized) (0, 2)-Γ-ideals, ordered (generalized) (1, 2)-Γ-ideals
and ordered (generalized) 0-minimal (0, 2)-Γ-ideals. Also, we investigate the notion of ordered (generalized) (0, 2)-bi-Γ-ideals, ordered
0-(0, 2) bisimple po-Γ-semigroups and ordered 0-minimal (generalized) (0, 2)-bi-Γ-ideals in po-Γ-semigroups. It is proved that a po-Γsemigroup S with a zero 0 is 0-(0, 2)-bisimple if and only if it is left
0-simple. 

Anahtar Kelimeler

po-Γ-semigroup, ordered bi-Γ-ideal, ordered(m;n)-Γ-ideal, ordered(0;2)-Γ-idea

Kaynakça

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