Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 1, pp. 2127 (2004) 

Primeness in nearrings 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 nearrings. One of these is the concept of equiprime, which was defined in 1990 by Booth, Groenewald and Veldsman. We will investigate when the nearring $N_{0}(G)$ of continuous zeropreserving self maps of a topological group $G$ is equiprime. This is the case when $G$ is either $T_{0}$ and 0dimensional 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 nearrings 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
