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arXiv · 2305.09985

Basis of the free noncommutative Novikov algebra

B. K. Sartayev
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Abstract

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.

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B. K. Sartayev. 2023-05-17. Basis of the free noncommutative Novikov algebra. https://arxiv.org/abs/2305.09985

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