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QUASIREGULAR TORSION RINGS HAVING ISOMORPHIC ADDITIVE AND CIRCLE COMPOSITION GROUPS

 

作者: HelenL. Chick,   B.J. Gardner,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1999)
卷期: Volume 22, issue 3  

页码: 371-384

 

ISSN:1607-3606

 

年代: 1999

 

DOI:10.1080/16073606.1999.9632089

 

出版商: Taylor & Francis Group

 

关键词: 16N20;20K99

 

数据来源: Taylor

 

摘要:

We investigate the role played by torsion properties in determining whether or not a commutative quasiregular ring has its additive and circle composition (or adjoint) groups isomorphic. We clarify and extend some results for nil rings, showing, in particular, that an arbitrary torsion nil ring has the isomorphic groups property if and only if the components from its primary decomposition intop-rings do too.

 

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