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On the simplicity of nonzero-symmetric near-rings over meromorphic products

 

作者: Peter R. Fuchs,   Lucyna Kabza,  

 

期刊: Communications in Algebra  （Taylor Available online 1995）
卷期: Volume 23, issue 1  

页码: 185-199

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825215

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Let G be a group and H a subgroup of G × G. The simplicity of the nonzero-symmetric near-ring M(G,2,H)= {f ∈ M(G)‖f(H) ⊆H)is characterized. It is shown that whenever G is finite, the simplicity of M((7,2, 77) implies the simplicity of its zero-symmetric part. Apart from a few exceptional cases (which are all isomorphic) the converse can also be established.

 

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