Basis of the free noncommutative Novikov algebra
Dauletiyarova A. Sartayev B.K.
1 October 2025World Scientific
Journal of Algebra and its Applications
2025#24Issue 12
As it is known, the defining identities of a free Novikov algebra can be obtained from a commutative algebra with a derivation. In this paper, we consider a class of algebras obtained from the class of associative algebras with a derivation that generalizes Novikov algebras. Such objects are called noncommutative Novikov algebras. We construct a monomial basis for a free noncommutative Novikov algebra.
differential associative algebra , free algebra , Novikov algebra
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SDU University Almaty, Almatinskaya St 1/1, Kaskelen, 040900, Kazakhstan
Narxoz University, Almaty, Kazakhstan
UAE University, Al Ain, United Arab Emirates
SDU University Almaty
Narxoz University
UAE University
10 лет помогаем публиковать статьи Международный издатель
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