Primeness and Radicals in Near-Rings of Continuous Functions

Geoffrey L. Booth
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Geoffrey L. Booth: University of Port Elizabeth

A chapter in Nearrings and Nearfields, 2005, pp 171-176 from Springer

Abstract: Abstract In this note, we summarise some results previously obtained by the present author together with P.R. Hall ([1], [2]) and present some new ones. In particular, we characterise the strongly prime radical of the near-ring of continuous, zero-preserving self-maps of $$\mathbb{R}$$ , and that of some related near-rings.

Keywords: Topological group; near-ring of continuous functions; prime; 3-prime; equiprime; strongly prime; strongly equiprime; Hoehnke radical (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3391-9_6

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DOI: 10.1007/1-4020-3391-5_6

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