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Abstract

In the present article the concept of generalized derivations of Jordan algebras is introduced and the general properties of generalized derivations are studied. In particular, invariants are constructed in Jordan algebras using generalized derivations. Also, a description, for some values of the parameters a, b, g, of the sets of all (a, b, g) -derivations of Jordan algebrasis given.

Keywords

Vector space Jordon algebra linear map derivation

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How to Cite
Voxobov Fazliddin Faxriddinjon o‘g‘li. (2022). On Generalized Derivations Of Jordon Algebras. Texas Journal of Engineering and Technology, 15, 156–159. Retrieved from https://zienjournals.com/index.php/tjet/article/view/3058

References

  1. Leger G., Luks E. Generalized Derivations of Lie algebras, J. Algebra, 2000, 228,165-203.
  2. Hartwig J., Larsson D.,Silvestrov S. Deformation of Lie algebras using -derivation. Journal of algebra,2006, 38 (2) 109-138.(,)
  3. Hrivnak J.Invariants of Lie algebras. PhD Thesis, Faculty of Nuclear Science andPhysical Engineering, Czech Technical University, Prague, 2007.
  4. Novotny P.,Hrivnak J. On -derivation of Lie algebras and correspondinginvariant functions. J. Geom. Phys.,2008, 58, 208-217.(,,)
  5. Rakhimov I. S., Said Husain Sh. K.,Abdulkadir A. On Generalized derivationsof finite dimensional associative algebras. FEIIC International journal of Engineering andTechnology,2016, 13 (2) 121-126.
  6. Fiidow M.A., Rakhimov I.S., Said Husain Sh.K., Basri W. -Derivations of diassociativealgebras. Malaysian Journal Of Mathematical ciences, 2016, 10101-126.(,,)
  7. McCrimmonK.A taste of Jordan algebras. Springer, New York, Berlin, Heidelberg, Hong Kong, London, Milan, Paris, Tokyo, 2004, pp. 562.
  8. Hanche-OlcenH., StörmerE.Jordan operator algebras. Boston etc: Pitman Publ. Inc.,1984, pp. 183.
  9. Mamazhonov, M., & Shermatova, K. M. (2017). ON A BOUNDARY-VALUE PROBLEM FOR A THIRD-ORDER PARABOLIC-HYPERBOLIC EQUATION IN A CONCAVE HEXAGONAL DOMAIN. Bulletin KRASEC. Physical and Mathematical Sciences, 16(1), 11-16.
  10. Mamajonov, M., & Shermatova, Kh. A. (2017). On one boundary point for a third-order equation of parabolo-hyperbolic type in a concave hexagonal region. Vestnik KRAUNTS. Physical and Mathematical Sciences, (1 (17), 14-21.
  11. Akbarov, U. Y., and F. B. Badalov. "Eshmatov X. Stability of viscoelastic rods under dynamic loading." Prikl. mech. i tech. phys. 4 (1992): 20-22.
  12. Mamazhonov, M., and Kh B. Mamadalieva. "STATEMENT AND STUDY OF SOME BOUNDARY VALUE PROBLEMS FOR THIRD ORDER PARABOLIC-HYPERBOLIC EQUATION OF TYPE∂(Lu)/∂ x= 0 IN A PENTAGONAL DOMAIN." Bulletin KRASEC. Physical and Mathematical Sciences 12.1 (2016): 27-34.
  13. Abdikarimov, Rustamkhon A., Mukhsin M. Mansurov, and Ummatali Y. Akbarov. "Numerical study of flutter of a viscoelastic rigidly pinched rod taking into account physical and aerodynamic nonlinearities." Vestnik RSUH. Series: Informatics. Information Security. Mathematics 3 (2019): 94-107.
  14. Abdikarimov, Rustamxon A., Mukhsin M. Mansurov, and Ummatali Y. Akbarov. "Numerical study of a flutter of a viscoelastic rigidly clamped rod with regard for the physical and aerodynamic nonlinearities." ВЕСТНИК РГГУ 3 (2019): 95.
  15. Abdikarimov, Rustamxon A., Mukhsin M. Mansurov, and Ummatali Y. Akbarov. "Numerical study of a flutter of a viscoelastic rigidly clamped rod with regard for the physical and aerodynamic nonlinearities." ВЕСТНИК РГГУ 3 (2019): 95.
  16. Formanov, Sh K., and Sh Jurayev. "On Transient Phenomena in Branching Random Processes with Discrete Time." Lobachevskii Journal of Mathematics 42.12 (2021): 2777-2784.
  17. Khusanbayev, Ya. M., and H. Q. Zhumakulov. "On the convergence of almost critical branching processes with immigration to a deterministic process." O ‘ZBEKISTON MATEMATIKA JURNALI (2017): 142.
  18. Mamazhanov M., Shermatova Kh.M., Mamadalieva Kh.B. On one boundary problem for the third-order equation of the parabolo-hyperbolic type in the concave six-tumor region. Actual scientific research in the modern world. ISCIENCE. IN. UA, Pereyaslav-Khmelnitsky, 2017, vol.2(22), pp. 148-151.
  19. Mamajonov, M., and Khosiyatkhon Botirovna Mamadalieva. "Formulation and study of some boundary value problems for a third-order equation of the parabolo-hyperbolic type of the form ∂∂x(Lu)=0 in the pentagonal region." Physical and Mathematical Sciences 1 (12 (2016): 32-40.
  20. Abdikarimov, Rustamxon A., Mukhsin M. Mansurov, and Ummatali Y. Akbarov. "Numerical study of a flutter of a viscoelastic rigidly clamped rod with regard for the physical and aerodynamic nonlinearities." ВЕСТНИК РГГУ 3 (2019): 95.