Noncommutative Novikov algebras
EUROPEAN JOURNAL OF MATHEMATICS, cilt.9, sa.2, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.1007/s40879-023-00632-1
- Dergi Adı: EUROPEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: Novikov algebra, Derivation, Associative algebra, Grobner-Shirshov basis, BASES
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
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.