English

Noncommutative Novikov algebras

Rings and Algebras 2023-10-26 v1

Abstract

The class of Novikov algebras is a popular object of study among classical nonassociative algebras. The generic example of a Novikov algebra may be obtained from a differential associative and commutative algebra. We consider a more general class of linear algebras which may be obtained in the same way from not necessarily commutative associative algebras with a derivation.

Keywords

Cite

@article{arxiv.2204.08912,
  title  = {Noncommutative Novikov algebras},
  author = {P. Kolesnikov and B. Sartayev},
  journal= {arXiv preprint arXiv:2204.08912},
  year   = {2023}
}

Comments

18 pages

R2 v1 2026-06-24T10:52:11.618Z