BESH O‘LCHAMLI FILIFORM 3-LI ALGEBRANING BIR O‘LCHAMLI YECHILUVCHAN KENGAYTMALARI
Keywords:
Besh o‘lchamli filiform 3-Li algebra, Nilpotent algebra, Yechiluvchan kengaytma, Algebraik struktura, Algebra sinflanishi, Nilpotent algebra, Gomologiya nazariyasi, deformatsiyaAbstract
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.
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