2 papers
math.RA2026
The symmetric operation in a free Novikov algebra
Askar Dzhumadil'daev, Nurlan Ismailov
We study the symmetrization of the Novikov product. Using the embedding of a free Novikov algebra into a commutative differential algebra over a field of characteristic zero, we fi…
math.RA2025
On the generalized Poisson and transposed Poisson algebras
Askar Dzhumadil'daev, Nurlan Ismailov, Farukh Mashurov
We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation f…