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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We prove that the equiprime radical of LX is trivial, and we also obtain upper and lower bounds on its strongly prime radical in terms of the ideal of bounded Lipschitz functions on X
📌 3 Key Takeaways
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Objective & Hypothesis:In this note, we consider the equiprime and strongly prime radicals in the near-ring LX of Lipschitz functions over a normed vector space X.
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Key Findings & Data:In this note, we consider the equiprime and strongly prime radicals in the near-ring LX of Lipschitz functions over a normed vector space X.
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Conclusion & Impact:We prove that the equiprime radical of LX is trivial, and we also obtain upper and lower bounds on its strongly prime radical in terms of the ideal of bounded Lipschitz functions on X
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:near-ring · Lipschitz · equiprime
Abstract
In this note, we consider the equiprime and strongly prime radicals in the near-ring LX of Lipschitz functions over a normed vector space X. We prove that the equiprime radical of LX is trivial, and we also obtain upper and lower bounds on its strongly prime radical in terms of the ideal of bounded Lipschitz functions on X
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Cite This Article
Farag, M. (2014). Some results on primeness in the near-ring of Lipschitz functions on a normed vector space. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 5. https://ajindex.com/articles/1403366