31 август 2022
1Asosiy til:O'zbek
AYRIM O’LCHAMI 4 DAN ORTMAGAN NILPOTENT ELEMENTLI YORDAN ALGEBRALARIDA LOKAL DIFFERENSIALLASHLAR
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MAQOLA ANNOTATSIYASI
Ushbu maqolada tayin olingan o’lchami 4 dan ortmagan nilpotent elementga ega Yordan algebralarida differensiallashlar va lokal differensiallashlarning umumiy xossalari o’rganilgan. Bunday Yordan algebralarida berilgan chiziqli akslantirish differensiallashdan iborat bo’lishining zaruriy va yetarli shartlari topilgan. Shuningdek qaralayotgan Yordan algebralarida lokal differensiallash differensiallashdan iboratligi isbotlangan.
MUALIFLAR
Teglar
# derivation# дифференцирование# Yordan algebrasi# chiziqli akslantirish# differensiallash# lokal differensiallash# Йорданова алгебра# линейное отображение# локальное дифференцирование# Jordon algebra# linear map# local derivation
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Maqola idintifikatorlari
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Mavjud emas
Foydalanilgan adabiyotlar
Ayupov Sh.A., Arzikulov F.N. Umrzaqov N.M. Local derivations on associative and Jordan matrix algebras. Uzbek Mathematical Journal, 2019, No 4, 99 24-38.
Ayupov Sh.A., Kudaybergenov K.K. Local derivations on finite-dimensional Lie algebras. Linear Algebra and its Applications 493, 381-398, 2016.
Iryna Kashuba, Maria Eugenia Martin. Deformations of Jordan algebras of dimension four. Journal of Algebra, Vol. 399, (2014) 277-289 p.