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періодичних видань НАН України
On some Leibniz algebras, having small dimension
Репозиторій DSpace/Manakin
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On some Leibniz algebras, having small dimension
Інший ID:
2010 MSC: 17A32, 17A60
Посилання:
On some Leibniz algebras, having small dimension / V.S. Yashchuk // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 292–308. — Бібліогр.: 16 назв. — англ.
Підтримка:
The author would like to express her sincere thanks to her scientific advisor Professor L. A. Kurdachenko.
Дата:
2019
Переглядів:
204
Завантажень:
94
Анотація:
The first step in the study of all types of algebras is the description of such algebras having small dimensions. The structure of 3-dimensional Leibniz algebras is more complicated than 1 and 2-dimensional cases. In this paper, we consider the structure of Leibniz algebras of dimension 3 over the finite fields. In some cases, the structure of the algebra essentially depends on the characteristic of the field, in others on the solvability of specific equations in the field, and so on.
