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Commutative quasirecular rings with isomorphic additive and circle composition groups, ii: rational algebras

 

作者: Helen L. Chick,   B.J. Gardner,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 2  

页码: 657-670

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826155

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We show that any commutative nil ring which is an algebra over the rationals has its additive group isomorphic to its circle composition (or adjoint) group and demonstrate the importance of divisibility in establishing this result. We conclude by showing that if a ring has isomorphic additive and circle composition groups then this property need not be inherited by its quasiregular subrings.

 

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