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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 4

ON ONE SIDED STRONGLY PRIME IDEALS

Feride KUZUCUOĞLU
Pages
577–582
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

We also give various conditions on a noncommutative ring R so that R is 2-primal.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The notion of strongly prime right ideal is analogous to that of completely prime ideal in a commutative ring.
📊
Key Findings & Data:We prove that the intersection of all strongly prime right ideals of a ring R coincides with the Levitzki radical of this ring.
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Conclusion & Impact:We also give various conditions on a noncommutative ring R so that R is 2-primal.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Prime right ideal · Strongly prime right ideal · 2-primal ring

Abstract

The notion of strongly prime right ideal is analogous to that of completely prime ideal in a commutative ring. We prove that the intersection of all strongly prime right ideals of a ring R coincides with the Levitzki radical of this ring. We also give various conditions on a noncommutative ring R so that R is 2-primal.

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Cite This Article

KUZUCUOĞLU, F. (2022). ON ONE SIDED STRONGLY PRIME IDEALS. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 4, 577–582. https://ajindex.com/articles/530666

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