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20222026
most citedSome generalizations of the variety of transposed Poisson algebras

8 citations

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math.RA2024★ 6 cited

On the free metabelian Novikov and metabelian Lie-admissible algebras

A. Dauletiyarova, K. Abdukhalikov, B. K. Sartayev

In this paper, we consider Lie-admissible algebras, which are free Novikov and free Lie-admissible algebras with an additional metabelian identity. We construct a linear basis for…

math.RA2023★ 8 cited

Some generalizations of the variety of transposed Poisson algebras

B. K. Sartayev

It is shown that the variety of transposed Poisson algebras coincides with the variety of Gelfand-Dorfman algebras in which the Novikov multiplication is commutative. The Gröbner-S…