$\delta$-superderivations of semisimple Jordan superalgebras

Abstract

We described $\delta$-derivations and $\delta$-superderivations of simple and semisimple finite-dimensional Jordan superalgebras over algebraic closed fields with characteristic $p\ne 2$. We constructed new examples of 1/2-derivations and 1/2-superderivations of simple Zelmanov's superalgebra $V_{1/2}(Z,D).$

9 pages [in Russian]

References in corpus (2)

• $\delta$-superderivations of simple finite-dimensional Jordan and Lie superalgebras
• $\delta$-derivations of simple Jordan algebras and superalgebras

Cited by in corpus (14)

• Generalized derivations of (color) n-ary algebras
• Transposed Poisson structures on Block Lie algebras and superalgebras
• Transposed Poisson structures on Witt type algebras
• Degenerations of Jordan Superalgebras
• Transposed Poisson structures on Galilean and solvable Lie algebras
• Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras
• Conservative algebras of 2-dimensional algebras
• Alternative algebras admitting derivations with invertible values and invertible derivations
• δ-derivations of n-ary algebras
• Transposed Poisson structures
• δ-derivations of semisimple structurable algebras
• The structure of simple noncommutative Jordan superalgebras
• $n$-Ary generalized Lie-type color algebras admitting a quasi-multiplicative basis
• $\frac{1}{2}$-derivations of Lie algebras and transposed Poisson algebras