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BESH O‘LCHAMLI FILIFORM 3-LI ALGEBRANING BIR O‘LCHAMLI YECHILUVCHAN KENGAYTMALARI

Authors

  • Beshimova Shaxnoza

    Buxoro Davlat universiteti E-mail: shaxnozabeshimova@mail.ru
    Author

Keywords:

Besh o‘lchamli filiform 3-Li algebra, Nilpotent algebra, Yechiluvchan kengaytma, Algebraik struktura, Algebra sinflanishi, Nilpotent algebra, Gomologiya nazariyasi, deformatsiya

Abstract

Ushbu maqolada besh o‘lchamli filiform 3-Li algebraning bir o‘lchamli yechiluvchan kengaytmalari o‘rganiladi. Filiform 3-Li algebralar nilpotentlik darajasi maksimal bo‘lgan ko‘p-o‘lchamli algebraik strukturalar bo‘lib, ularning kengaytmalari yangi algebraik xususiyatlarni kashf etish imkonini beradi. Maqolada bir o‘lchamli kengaytmalar konstruktsiyasi, ularning yechiluvchanligi va nilpotentlik shartlari tahlil qilinadi. Olingan natijalar 3-Li algebra nazariyasining rivojlanishiga va algebraik strukturalarning sinflanishiga hissa qo‘shadi.

References

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3. Kasymov, S.M. (1987). On a theory of n-Lie algebras. Algebra and Logic, 26(3), 155-166.

4. Liu, J., Chen, Z., & Wang, Y. (2015). Structure and classification of nilpotent 3-Lie algebras. Communications in Algebra, 43(3), 1053-1068.

5. Bai, R., & Sheng, Y. (2017). Cohomology and deformations of 3-Lie algebras. Journal of Algebra, 484, 538-562.

6. Islomov, A., & Toshpulatov, B. (2020). Struktura i rasshireniya nilpotentnykh 3-Lie algebr. Uzbek Mathematical Journal, 58(2), 75-90.

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Published

2025-07-03