JORDAN SUPERDERIVATIONS AND JORDAN TRIPLE SUPERDERIVATIONS OF SUPERALGEBRAS

被引：0
|
作者：
Yuan, He [1 ,2 ]
Chen, Liangyun [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Peoples R China
[2] Jilin Normal Univ, Dept Math, Siping 136000, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2016年 / 144卷 / 02期
关键词：
functional identity; superalgebra; Jordan superderivation; LIE MAP CONJECTURES; D-FREE SUBSETS; FUNCTIONAL IDENTITIES; GENERALIZED DERIVATIONS; RINGS; SUPERHOMOMORPHISMS; MAPPINGS;
D O I：
10.4064/cm6650-9-2015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Jordan (theta,theta)-superderivations and Jordan triple (theta,theta)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A(0) circle plus A(1) is a prime superalgebra with deg(A(1)) >= 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.
引用
收藏
页码：229 / 243
页数：15
相关论文
共 50 条
  • [11] Supercentralizing superderivations on prime superalgebras
    Chen, TS
    COMMUNICATIONS IN ALGEBRA, 2005, 33 (12) : 4457 - 4466
  • [12] Nilpotent superderivations in prime superalgebras
    Garcia, Esther
    Lozano, Miguel Gomez
    de Salas, Guillermo Vera
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20): : 5547 - 5570
  • [13] On ID*-superderivations of Lie superalgebras
    Liu, Wende
    Cai, Mengmeng
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (08): : 1513 - 1525
  • [14] EQUATIONS RELATED TO SUPERDERIVATIONS ON PRIME SUPERALGEBRAS
    Fosner, Ajda
    Fosner, Maja
    MATHEMATICA SCANDINAVICA, 2014, 115 (02) : 303 - 319
  • [15] On superderivations and local superderivations
    Fosner, Ajda
    Fosner, Maja
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (05): : 1383 - 1395
  • [16] Superderivations for a Family of Lie Superalgebras of Special Type
    SUN XIU-MEI
    CommunicationsinMathematicalResearch, 2011, 27 (01) : 53 - 61
  • [17] Local Superderivations on Solvable Lie and Leibniz Superalgebras
    Camacho, Luisa Maria
    Navarro, Rosa Maria
    Omirov, Bakhrom
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)
  • [18] Local Superderivations on Solvable Lie and Leibniz Superalgebras
    Luisa María Camacho
    Rosa María Navarro
    Bakhrom Omirov
    Mediterranean Journal of Mathematics, 2023, 20
  • [19] Local Superderivations on Basic Classical Lie Superalgebras
    Chen, Haixian
    Wang, Ying
    Nan, Jizhu
    ALGEBRA COLLOQUIUM, 2017, 24 (04) : 673 - 684
  • [20] LOCAL SUPERDERIVATIONS ON CARTAN TYPE LIE SUPERALGEBRAS
    Yuan, Jixia
    Chen, Liangyun
    Cao, Yan
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2021, 62 (02): : 433 - 442
12345