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

top
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

top

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

top
  1. Ashraf, M., Al-Shammakh, Wafa S. M., On generalized ( θ , φ ) -derivations in rings, Int. J. Math. Game Theory and Algebra 12 (2002), 295-300. (2002) Zbl1076.16512MR1951117
  2. Bertram, W., The Geometry of Jordan and Lie Structures, In: Lecture Notes in Math. vol. 1754, Springer-Verlag (2000). (2000) Zbl1014.17024MR1809879
  3. Brešar, M., 10.1090/S0002-9939-1988-0929422-1, Proc. Amer. Math. Soc. 104 (1988), 1003-1006. (1988) MR0929422DOI10.1090/S0002-9939-1988-0929422-1
  4. Brešar, M., 10.1016/0021-8693(89)90285-8, J. Algebra 127 (1989), 218-228. (1989) MR1029414DOI10.1016/0021-8693(89)90285-8
  5. Brešar, M., Vukman, J., Jordan ( θ , ϕ ) -derivations, Glasnik Math. 46 (1991), 13-17. (1991) Zbl0798.16023MR1269170
  6. Hvala, B., 10.1080/00927879808826190, Comm. Algebra. 26 (1998), 1147-1166. (1998) Zbl0899.16018MR1612208DOI10.1080/00927879808826190
  7. Herstein, I. N., 10.1090/S0002-9939-1957-0095864-2, Proc. Amer. Math. Soc. 8 (1958), 1104-1110. (1958) Zbl0216.07202MR0095864DOI10.1090/S0002-9939-1957-0095864-2
  8. Jacobson, N., 10.2307/2372102, Amer. J. Math. 71 (1949), 149-170. (1949) Zbl0034.16903MR0028305DOI10.2307/2372102
  9. Jacobson, N., 10.1090/S0002-9947-1951-0041118-9, Trans. Amer. Math. Soc. 70 (1951), 509-530. (1951) Zbl0044.02503MR0041118DOI10.1090/S0002-9947-1951-0041118-9
  10. Jing, W., Lu, S., 10.11650/twjm/1500407580, Taiwanese J. Math. 7 (2003), 605-613. (2003) Zbl1058.16031MR2017914DOI10.11650/twjm/1500407580
  11. Lee, T.-K., 10.1080/00927879908826682, Comm. Algebra. 27 (1999), 4057-4073. (1999) Zbl0946.16026MR1700189DOI10.1080/00927879908826682
  12. Lister, W. G., 10.1090/S0002-9947-1952-0045702-9, Trans. Amer. Math. Soc. 72 (1952), 217-242. (1952) Zbl0046.03404MR0045702DOI10.1090/S0002-9947-1952-0045702-9
  13. Liu, C.-K., Shiue, W.-K., 10.11650/twjm/1500404872, Taiwanese J. Math. 11 (2007), 1397-1406. (2007) MR2368657DOI10.11650/twjm/1500404872
  14. Vukman, J., 10.11650/twjm/1500404694, Taiwanese J. Math. 11 (2007), 367-370. (2007) Zbl1124.16030MR2333351DOI10.11650/twjm/1500404694

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.