Abstract and Applied Analysis
Volume 2007 (2007), Article ID 85737, 14 pages
Isomorphisms and Derivations in Lie -Algebras
1Department of Mathematics, Hanyang University, Seoul 133–791, South Korea
2Department of Mathematics Education, Pusan National University, Pusan 609–735, South Korea
3Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
Received 7 May 2007; Revised 10 July 2007; Accepted 13 July 2007
Academic Editor: John Michael Rassias
Copyright © 2007 Choonkil Park et al. 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.
We investigate isomorphisms between -algebras, Lie -algebras, and -algebras,
and derivations on -algebras, Lie -algebras, and -algebras associated with the
Cauchy–Jensen functional equation .