Ushbu tadqiqot ishida Kislitsin tomonidan qurilgan ayniyatlar chekli bazasiga EGA bo’lmagan 7-o’lchamli

Annotatsiya
Ushbu tadqiqot ishida Kislitsin tomonidan qurilgan ayniyatlar chekli bazasiga ega bo’lmagan 7-o’lchamli va sodda algebralardagi differensiallashlar va avtomorfizmlar uchun ularning matritsalarining umumiy ko’rinishi qurilgan. Shuningdek, va sodda algebralardagi har qanday lokal differensiallash va lokal avtomorfizm mos ravishda differensiallash va avtomorfizm bo’lishi, hamda va sodda algebralardagi har qanday 2-lokal differensiallash va 2-lokal avtomorfizm mos ravishda differensiallash va avtomorfizm bo’lishi isbotlangan.

Annotation
In this study, a general view of their matrices for differentiation and autorphisms in 7-dimensional C and D simple algebras without a finite base of identities constructed by Kislitsin was constructed. It has also been proved that any local differentiation and local autorphism in simple algebras C and D are differentials and autorphisms, respectively, and that any 2-local differentiation and 2-local autorphism in simple algebras C and D are differential and autorphism, respectively.