Some results on primeness in the near-ring of Lipschitz functions on a normed vector space

Authors : Mark FARAG

Pages : 747-753

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Publication Date : 2014-10-01

Article Type : Research Paper

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
Keywords : near ring, Lipschitz, equiprime, strongly prime