On algebras embeddable into bicommutative algebras
Ismailov N.A. Mashurov F.A. Sartayev B.K.
2024Taylor and Francis Ltd.
Communications in Algebra
2024#52Issue 114778 - 4785 pp.
We consider algebras embeddable into free bicommutative algebras with respect to commutator and anti-commutator products over a field of characteristic zero. We show that every metabelian Lie algebra can be embedded into a bicommutative algebra with respect to the commutator product. Furthermore, we prove that the class of commutative algebras embeddable into bicommutative algebras with respect to the anti-commutator product forms a variety. As a consequence, we obtain that every metabelian Lie algebra can be embedded into a Novikov algebra with respect to the commutator product.
Bicommutative algebra , metabelian Lie algebra , speciality problem
Text of the article Перейти на текст статьи
Astana IT University, Astana, Kazakhstan
Shenzhen International Center for Mathematics, Southern University of Science and Technology, Guangdong, Shenzhen, China
SDU University, Kaskelen, Kazakhstan
Narxoz University, Almaty, Kazakhstan
UAE University, Al Ain, United Arab Emirates
Astana IT University
Shenzhen International Center for Mathematics
SDU University
Narxoz University
UAE University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026