Basis of the free noncommutative Novikov algebra
Rings and Algebras
2023-05-18 v1
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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Cite
@article{arxiv.2305.09985,
title = {Basis of the free noncommutative Novikov algebra},
author = {B. K. Sartayev},
journal= {arXiv preprint arXiv:2305.09985},
year = {2023}
}
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8 pages