UASI-DERIVATIONS OF LOW-DIMENSIONAL LEIBNIZ ALGEBRAS AND THEIR PROPERTIES

Authors

  • Musayev Sardor Xabibulla o’g’li UNIVERSITY OF SCIENCE AND TECHNOLOGIES Teacher of the "Exact Sciences" department

DOI:

https://doi.org/10.37547/

Keywords:

Leibniz algebra, derivation, quasi-derivation, generalized derivation, centroids and quasi-centroids.

Abstract

The article presents the results obtained about quasi-derivations of small-dimension Leibniz algebras and their properties.

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References

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Ayupov Sh.A., Kudaybergenov K.K., Local derivations on finite-dimensional Lie algebras. Linear Alg. and Appl., 2016, Vol. 493, p. 381–388.

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Abdurasulov K., Kaygorodov I., Khudoyberdiyev A.: The algebraic and geometric classification of nilpotent Leibniz algebras, arXiv:2307.00289

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Ayupov, Sh., Khudoyberdiyev, A., Shermatova, Z.: On complete Leibniz algebras. Internat. J. Algebra Comput. 32(2), 265–288 (2022)

Musayev S.X. : Kichik o'lchamli leybnits algebralarining kvazi-differensiyalashlari va ularning xossalari. Educational research in universal sciences, 3(3), 112–119. https://doi.org/10.5281/zenodo.10836664

Musayev S.X. :Tabiiy usulda graduirlangan filiform leybnits algebralarining kvazi-differensiallashlari tasnifi. “Raqamli texnologiyalar asosida ta’lim jarayonini takomillashtirish” conference.(2024) Toshkent.

K. Ruzmetov, A. Faiziev, S. Murodov, O. Kurbonbekova. E3S Web of Conf. 389 03080 (2023). DOI: 10.1051/e3sconf/202338903080. https://doi.org/10.1051/e3sconf/202338903080

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Published

2024-06-10

How to Cite

UASI-DERIVATIONS OF LOW-DIMENSIONAL LEIBNIZ ALGEBRAS AND THEIR PROPERTIES. (2024). International Bulletin of Applied Science and Technology, 4(6), 81-86. https://doi.org/10.37547/

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