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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