Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 45, No. 1, pp. 21-27 (2004)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 1, pp. 21-27 (2004) |
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Primeness in near-rings of continuous functionsG.L. Booth and P.R. HallUniversity of Port Elizabeth, Port Elizabeth 6000, South AfricaAbstract: Various types of primeness have been considered for near-rings. One of these is the concept of equiprime, which was defined in 1990 by Booth, Groenewald and Veldsman. We will investigate when the near-ring $N_{0}(G)$ of continuous zero-preserving self maps of a topological group $G$ is equiprime. This is the case when $G$ is either $T_{0}$ and 0-dimensional or $T_{0}$ and arcwise connected. We also give conditions for $N_{0}(G)$ to be strongly prime and strongly equiprime. Finally, we apply these results to sandwich near-rings of continuous functions. Classification (MSC2000): 16Y30, 22A05 Full text of the article:
Electronic version published on: 5 Mar 2004. This page was last modified: 4 May 2006.
© 2004 Heldermann Verlag
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