✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
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 Maddede Bu Makale
🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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
Anahtar kelimeler
🔖
Bu Makaleye Atıf Yap
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