Urganch davlat universiteti fizika-matematika fakulteti dovletov dovletmyrat hojaguly ogly

2-hol. Aytaylik, boʻlsin. Bu holda (4.2.1) tenglamalar sistemasi yagona yechimga ega boʻladi.
Teorema isbotlandi.

4.2.2-Teorema. tabiiy usulda graduirlangan filiform Leibniz algebraning differensiallash boʻlmaydigan 2-lokal differensiallashi mavjud.

XULOSA

Ushbu bitiruv malakaviy ishida tabiiy usulda graduirlangan filiform Leibniz algebralarining lokal va 2-lokal differentsiallashlari o’rganilgan.

Bitiruv malakaviy ishning II bo’bida nul-filiform va filiform Leibniz algebrasining differentsiallashining matritsaviy ko’rinishi topilgan.
Bitiruv malakaviy ishning III bobida nul-filiform Leibniz algebrasining lokal differentsiallashining matritsaviy ko’rinishi topilgan. Huddi shunga o’xshash filiform Leibniz algebralarining lokal differentsiallashlarining matritsaviy ko’rinishlari to’pilgan.
Bitiruv malakaviy ishning IV bobida nul-filiform Leibniz algebrasining 2-lokal differentsiallashining oddiy ma’noda differentsiallash bo’lishlik sharti ko’rsatilgan. Bundan tashqari, filiform Leibniz algebralarining oddiy ma’noda differentsiallash bo’lmaydigan 2-lokal differentsiallashining mavjud ekanligi isbotlangan.
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