Noncommutative Novikov algebras
Sartayev B. Kolesnikov P.
June 2023Springer Science and Business Media Deutschland GmbH
European Journal of Mathematics
2023#9Issue 2
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.
Associative algebra , Derivation , Gröbner–Shirshov basis , Novikov algebra
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Sobolev Institute of Mathematics, Akad. Koptyug prosp. 4, Novosibirsk, 630090, Russian Federation
Suleyman Demirel University, Abylaikhan street 1/1, Kaskelen, 040900, Kazakhstan
Sobolev Institute of Mathematics
Suleyman Demirel University
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