Jordan superderivations and Jordan triple superderivations of superalgebras

He Yuan; Liangyun Chen

Colloquium Mathematicae (2016)

  • Volume: 144, Issue: 2, page 229-243
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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He Yuan, and Liangyun Chen. "Jordan superderivations and Jordan triple superderivations of superalgebras." Colloquium Mathematicae 144.2 (2016): 229-243. <http://eudml.org/doc/286259>.

@article{HeYuan2016,
abstract = {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.},
author = {He Yuan, Liangyun Chen},
journal = {Colloquium Mathematicae},
keywords = {functional identity; superalgebra; Jordan superderivation},
language = {eng},
number = {2},
pages = {229-243},
title = {Jordan superderivations and Jordan triple superderivations of superalgebras},
url = {http://eudml.org/doc/286259},
volume = {144},
year = {2016},
}

TY - JOUR
AU - He Yuan
AU - Liangyun Chen
TI - Jordan superderivations and Jordan triple superderivations of superalgebras
JO - Colloquium Mathematicae
PY - 2016
VL - 144
IS - 2
SP - 229
EP - 243
AB - 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.
LA - eng
KW - functional identity; superalgebra; Jordan superderivation
UR - http://eudml.org/doc/286259
ER -

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