Aniq fanlar

ABELIAN EXTENSIONS OF SOLVABLE LEIBNIZ ALGEBRA WITH NATURALLY GRADED FILIFORM NILRADICAL OF MAXIMAL CODIMENSION

Leybnits algebrasi, yechiluvchanlik, nilpotentlik, filiform Leybnits algebralari, Abel kengatma.

Mualliflar

  • S. A. Sheraliyeva V.I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences.Tashkent, Uzbekistan, Uzbekistan

Markaziy kengaytma metodidan foydalanib, markazi noldan farqli bo’lgan algebralarni qurishimiz
mumkin. Shuning uchun, markazi trivial bo’lgan Leybnits algebralarini aniqlash uchun Abel
kengaytmalar metodidan foydalanamiz. Ushbu ishda nilradikali maksimal ko-o’lchamli tabiiy usulda
gradiurlangan filiform Leybnits algebrasi bo’lgan yechiluvchi Leybnits algebralarining bir o’lchovli
Abel kengaytmalarining klassifikatsiyasi keltirilgan. Bu kengaytmalar aniq ifodalangan va ularning
strukturalari izomorfizm aniqligini tasniflangan.