Noncommutative Novikov algebras
EUROPEAN JOURNAL OF MATHEMATICS, vol.9, no.2, 2023 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 9 Issue: 2
- Publication Date: 2023
- Doi Number: 10.1007/s40879-023-00632-1
- Journal Name: EUROPEAN JOURNAL OF MATHEMATICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Keywords: Novikov algebra, Derivation, Associative algebra, Grobner-Shirshov basis, BASES
- Süleyman Demirel University Affiliated: No
Abstract
The class of Novikov algebras is a popular object of study among classical nonassociative algebras. A generic example of a Novikov algebra may be constructed from an associative and commutative algebra A with a derivation d: it is enough to consider the operation a ? b = ad(b), a, b ? A, on the same space A. 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.