Jordan superderivations and Jordan triple superderivations of superalgebras

• Autorzy: He Yuan , Liangyun Chen
• Języki publikacji: EN

Abstrakty

EN

We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.

Kategorie tematyczne

• 16W55: ``Super'' (or ``skew'') structure
• 17A70: Superalgebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 144
• Numer: 2
• Strony: 229-243

Daty

wydano

2016

Twórcy

autor

He Yuan

• Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, 130024 Changchun, China
• Department of Mathematics, Jilin Normal University, 136000 Siping, China

autor

Liangyun Chen

• Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, 130024 Changchun, China

Identyfikatory

DOI

10.4064/cm6650-9-2015