Some Notes on Semiabelian Rings

It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 2011, Vol.2011 (1), p.142-151-013
Main Authors: Wei, Junchao, Li, Nanjie
Format: Article
Language:English
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Summary:It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.
ISSN:0161-1712
1687-0425
DOI:10.1155/2011/154636