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Journals / TWMS Journal of Applied and Engineering Mathematics / 2026 / Volume: 9 Issue: 3

ON SOME PROPERTIES OF NORMAL Γ-IDEALS IN NORMAL Γ-SEMIGROUPS

A. Basar(Dept. of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi-110 025, India)
M. Y. Abbasi(Dept. of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi-110 025, India)
Pages
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Publication Date
2019-09-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we show that the minimal normal T-ideal of a T-semigroup S is a T-group.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce the concept of normal T-ideal and bi-T-ideal in normal T- semigroups.
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Key Findings & Data:In particular, we establish, among the other things, that if I1; I2 are any two normal T- ideals of a T-semigroup S, then their product I1TI2 and I2TI1 are also normal T-ideals of S and I1TI2 = I2TI1.
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Conclusion & Impact:Finally, we show that the minimal normal T-ideal of a T-semigroup S is a T-group.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:T-semigroup · normal ideal

Abstract

We introduce the concept of normal T-ideal and bi-T-ideal in normal T- semigroups. We characterize the normal T-semigroup and normal regular T-semigroup in terms of elementary properties of bi-T-ideal proving the various equivalent conditions. In particular, we establish, among the other things, that if I1; I2 are any two normal T- ideals of a T-semigroup S, then their product I1TI2 and I2TI1 are also normal T-ideals of S and I1TI2 = I2TI1. Finally, we show that the minimal normal T-ideal of a T-semigroup S is a T-group.

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Cite This Article

Basar, A., Abbasi, M. Y. (2019). ON SOME PROPERTIES OF NORMAL Γ-IDEALS IN NORMAL Γ-SEMIGROUPS. TWMS Journal of Applied and Engineering Mathematics, Volume: 9 Issue: 3. https://ajindex.com/articles/1604415

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