Primeness in Near-rings of Continuous Functions
نویسنده
چکیده
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 N0(G) of continuous zeropreserving self maps of a topological group G is equiprime. This is the case when G is either T0 and 0-dimensional or T0 and arcwise connected. We also give conditions for N0(G) to be strongly prime and strongly equiprime. Finally, we apply these results to sandwich near-rings of continuous functions. MSC 2000: 16Y30, 22A05
منابع مشابه
Primeness in Near - rings of Continuous Functions 2
This paper is a continuation of work done by the present author together with P. R. Hall [1]. We characterise the prime and equiprime radicals of N0(G) for certain topological groups G. Various results are obtained concerning primeness and strongly primeness for the sandwich near-ring N0(G,X, θ). MSC 2000: 16Y30, 22A05
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