On generalized Jordan derivations of Lie triple systems

Abbas Najati

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 2, page 541-547
  • ISSN: 0011-4642

Abstract

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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 θ -derivation on a Lie triple system is a θ -derivation.

How to cite

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Najati, Abbas. "On generalized Jordan derivations of Lie triple systems." Czechoslovak Mathematical Journal 60.2 (2010): 541-547. <http://eudml.org/doc/38026>.

@article{Najati2010,
abstract = {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.},
author = {Najati, Abbas},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lie triple system; $(\varphi ,\psi )$-derivation; Jordan triple $(\varphi ,\psi )$-derivation; $\theta $-derivation; Jordan triple $\theta $-derivation; Lie triple system; -derivation; Jordan triple -derivation; -derivation; Jordan triple -derivation},
language = {eng},
number = {2},
pages = {541-547},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On generalized Jordan derivations of Lie triple systems},
url = {http://eudml.org/doc/38026},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Najati, Abbas
TI - On generalized Jordan derivations of Lie triple systems
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 2
SP - 541
EP - 547
AB - 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.
LA - eng
KW - Lie triple system; $(\varphi ,\psi )$-derivation; Jordan triple $(\varphi ,\psi )$-derivation; $\theta $-derivation; Jordan triple $\theta $-derivation; Lie triple system; -derivation; Jordan triple -derivation; -derivation; Jordan triple -derivation
UR - http://eudml.org/doc/38026
ER -

References

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