On linear equations over split-octonions | Sciact - Система учета научной деятельности ИМ СО РАН

On linear equations over split-octonions Научная публикация

Журнал

Electronic Journal of Linear Algebra
ISSN: 1081-3810

Вых. Данные

Год: 2026, Том: 42, Страницы: 569-590 Страниц : 22 DOI: 10.13001/ela.2026.10099

Ключевые слова

Octonions, Split-octonions, Linear equation, Positive characteristic.

Авторы

Lopatin Artem ¹ , Zubkov Alexandr ²

Организации

1	Universidade Estadual de Campinas
2	Sobolev Institute of Mathematics

Over an algebraically closed field, we describe the affine varieties of solutions to the linear equations (ax)b=canda (bx) =cover the split-octonions. We also determine the dimensions of the solution sets of arbitrary linear monomial equations in the split-octonions. Moreover, we show that if a linear monomial equation over the split-octonions with nonzero constant term has at least two solutions, then it necessarily possesses an invertible solution

Lopatin A. , Zubkov A.
On linear equations over split-octonions
Electronic Journal of Linear Algebra. 2026. V.42. P.569-590. DOI: 10.13001/ela.2026.10099 OpenAlex

Поступила в редакцию:	24 нояб. 2025 г.
Принята к публикации:	14 июн. 2026 г.

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