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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…
math.RA2023★ 1 cited
On Pre-Novikov Algebras and Derived Zinbiel Variety
Pavel Kolesnikov, Farukh Mashurov, Bauyrzhan Sartayev
For a non-associative algebra with a derivation , its derived algebra is the same space equipped with new operations , , $a,b\i…