International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 154636, 10 pages
Review Article

Some Notes on Semiabelian Rings

School of Mathematics, Yangzhou University, Yangzhou 225002, China

Received 12 January 2011; Accepted 6 June 2011

Academic Editor: Frank Sommen

Copyright © 2011 Junchao Wei and Nanjie Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 eE(R). Some characterizations and properties of semiabelian rings are studied.