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Primeness and Radicals in Near-Rings of Continuous Functions

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Nearrings and Nearfields
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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.

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References

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© 2005 Springer

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Booth, G.L. (2005). Primeness and Radicals in Near-Rings of Continuous Functions. In: Kiechle, H., Kreuzer, A., Thomsen, M.J. (eds) Nearrings and Nearfields. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3391-5_6

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