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math.RA2025
On Zinbiel and Tortkara superalgebras
Sofiane Bouarroudj, Farukh Mashurov
In this paper, we study Zinbiel superalgebras and special Tortkara superalgebras, highlighting key differences between the super and the non-super setting. We present examples of Z…
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…
math.RA2025
On the transposed Poisson n-Lie algebras
Farukh Mashurov
We study unital commutative associative algebras and their associated n-Lie algebras, showing that they are strong transposed Poisson n-Lie algebras under specific compatibility co…