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math.RA2022
Free special Gelfand-Dorfman algebra
V. Gubarev, B. K. Sartayev
A Gelfand-Dorfman algebra is called special if it can be embedded into a differential Poisson algebra. We find a new basis of the free Novikov algebra. With its help, we construct…
math.RA2022★ 10 cited
Noncommutative Novikov algebras
P. Kolesnikov, B. Sartayev
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 ass…