On generalized Jordan derivations of Lie triple systems
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 541-547
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple $\theta $-derivation on a Lie triple system is a $\theta $-derivation.
Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple $\theta $-derivation on a Lie triple system is a $\theta $-derivation.
Classification :
16W25, 17A36, 17A40
Keywords: Lie triple system; $(\varphi, \psi )$-derivation; Jordan triple $(\varphi, \psi )$-derivation; $\theta $-derivation; Jordan triple $\theta $-derivation
Keywords: Lie triple system; $(\varphi, \psi )$-derivation; Jordan triple $(\varphi, \psi )$-derivation; $\theta $-derivation; Jordan triple $\theta $-derivation
@article{CMJ_2010_60_2_a18,
author = {Najati, Abbas},
title = {On generalized {Jordan} derivations of {Lie} triple systems},
journal = {Czechoslovak Mathematical Journal},
pages = {541--547},
year = {2010},
volume = {60},
number = {2},
mrnumber = {2657968},
zbl = {1224.17008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a18/}
}
Najati, Abbas. On generalized Jordan derivations of Lie triple systems. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 541-547. http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a18/