Strongly Prime Ideals of Near-rings of Continuous Functions

被引：2
|
作者：
Booth, G. L. [1 ]
机构：
[1] Nelson Mandela Metropolitan Univ, Port Elizabeth, South Africa
来源：
ADVANCES IN RING THEORY | 2010年
关键词：
near-ring of continuous functions; strongly prime; uniformly strongly prime;
D O I：
10.1007/978-3-0346-0286-0_5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we investigate strongly prime ideals in the near-ring N-0(R-n) of continuous, zero-preserving self-maps of R-n. The strongly prime and uniformly strongly prime radicals of these near-rings are characterized. The Peano space-filling curves play a crucial role in this investigation. We also consider strongly prime ideals in N-0(R-omega), where omega denotes the first transfinite cardinal.
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页码：63 / 68
页数：6
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