On linear equations over split octonions

Autor: Lopatin, Artem, Zubkov, Alexandr N.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: Over an algebraically closed field, affine varieties of solutions of the linear equations a(xb)=c and a(bx)=c over split octonions are described. The set of solutions of a general linear monomial equation over split octonions is considered. We also study how the dimension of the set of solutions is changed under the degeneration of a linear equation.
Comment: 19 pp
Databáze: arXiv