- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 2
- Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups
Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups
Authors : M. Y. Abbasi, Abul Basar
Pages : 247-254
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Publication Date : 2015-04-01
Article Type : Research
Abstract :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.Keywords : po-Γ-semigroup, ordered bi-Γ-ideal, ordered(m, n)-Γ-ideal, ordered(0, 2)-Γ-idea