Noncommutative Novikov algebras

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.

18 pages

References in corpus (1)

• On the special identities of Gelfand--Dorfman algebras

Cited by in corpus (3)

• The algebraic and geometric classification of $\delta$-Novikov algebras
• On Pre-Novikov Algebras and Derived Zinbiel Variety
• Differential envelopes of Novikov conformal algebras