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A kurosh-amitsur prime radical for near-rings

 

作者: G.L. Booth,   N.J. Groenewald,   S. Veldsman,  

 

期刊: Communications in Algebra  （Taylor Available online 1990）
卷期: Volume 18, issue 9  

页码: 3111-3122

 

ISSN:0092-7872

 

年代: 1990

 

DOI:10.1080/00927879008824063

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

The usual definition of primeness for near-rings does not lead to a Kurosh-Amitsur radical class for zerosymmetric near-rings (cf. Kaarli and Kriis[5]). In this paper, we define equiprime near-rings, which are another generalization of primeness in rings. Various results are proved, amongst others, for zerosymmetric near-rings:If N is a near-ring and A ⊲ B ⊲ N such that B/A is equiprime, then A ⊲ N. We define.

 

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