QUASI-DERIVATIONS OF SMALL SIZE LEIBNITZ ALGEBRAS AND THEIR PROPERTIES: https://doi.org/10.5281/zenodo.11198320

Authors

Musayev Sardor Xabibulla o’g’li,Husenov Mirshod Rajab o’g’li University of science and technologies Author

Leibniz algebras, differentiation, quasi-differentiation, generalized differentiation, centroids and quasi-centroids.

The article presents the results obtained about quasi-differentiations of small

dimension Leibniz algebras and their properties.

Albeverio S., Ayupov Sh.A., Kudaybergenov K.K., Nurjanov B.O., Local derivations on

algebras of measurable operators. Comm. in Cont. Math., 2011, Vol. 13, No. 4, p. 643–657.

Ayupov Sh.A., Kudaybergenov K.K., Local derivations on finite-dimensional Lie

algebras. Linear Alg. and Appl., 2016, Vol. 493, p. 381–388.

Abdurasulov K., Kaygorodov I., Khudoyberdiyev A.: The algebraic and geometric

classification of nilpo-tent Leibniz algebras,

Abdurasulov, K., Kaygorodov, I., Khudoyberdiyev, A.: The algebraic classification of

nilpotent Novikov algebras. Filomat 37(20), 6617–6664 (2023)

Abdurasulov K., Kaygorodov I., Khudoyberdiyev A.: The algebraic and geometric

classification of nilpotent Leibniz algebras, arXiv:2307.00289

Abdurasulov, K., Khudoyberdiyev, A., Ladra, M., Sattarov, A.: Pre-derivations and

description of nonstrongly nilpotent filiform Leibniz algebras. Commun Math 29(2), 187–213

(2021)

Ayupov, Sh., Khudoyberdiyev, A., Yusupov, B.: Local and 2-local derivations of

solvable Leibniz algebras. Internat. J. Algebra Comput. 30(6), 1185–1197 (2020)

Ayupov, Sh., Khudoyberdiyev, A., Shermatova, Z.: On complete Leibniz algebras.

Internat. J. Algebra Comput. 32(2), 265–288 (2022)

Musayev, S. X. o'g'li. (2024). KICHIK O'LCHAMLI LEYBNITS

ALGEBRALARINING KVAZI-DIFFERENSIYALASHLARI VA ULARNING XOSSALARI.

Educational research in universal sciences, 3(3), 112–119.

Musayev S. X. NOL-FILIFORM LEYBNITS ALGEBRALARINING KVAZIDIFFERENSIALLASHLARI. Mathematics, mechanics and intellectual technologies tashkent-

227-228.

Musayev S.X. LEYBNITS ALGEBRALARINING KVAZIDIFFERENSIALLASHLARI VA ULARNING XOSSALARI. Operator algebralar, noassotsiativ

tuzilmalar va turdosh masalalar. Sentabr-2022. 118-120 betlar.

Musayev S. X. Elementary properties of centroid, quasicentroid and central derivations

of Leibniz algebras. ABSTRACTS OF COMMUNICATIONS: INTERNATIONAL

CONFERENCE LIMIT THEOREMS OF PROBABILITY THEORY AND MATHEMATICAL

STATISTICS. September 26-28, 2022 Tashkent, Uzbekistan.