Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 44 Issue: 2

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

Sayfa
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Yayın Tarihi
2015-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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. 

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce ordered (generalized) (m, n)-Γ-ideals in po-Γ-semigroups.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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. 
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:po-Γ-semigroup · ordered bi-Γ-ideal · ordered(m

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. 

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Bu Makaleye Atıf Yap

Abbasi, M. Y., Basar, A. (2015). Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 2. https://ajindex.com/articles/1403298

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