TERNARY DERIVATIONS OF JORDAN SUPERALGEBRAS

被引:9
|
作者
Shestakov, A. I. [1 ,2 ]
机构
[1] Sobolev Inst Math, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
关键词
superalgebra; Jordan algebra; generalized derivation; ternary derivation; DELTA-DERIVATIONS; GENERALIZED DERIVATIONS; ALGEBRAS;
D O I
10.1007/s10469-014-9293-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a description of ternary and generalized derivations of finite-dimensional semisimple Jordan superalgebras over an algebraically closed field of characteristic 0, and also of simple Jordan superalgebras with semisimple even part over an algebraically closed field in arbitrary characteristic other than 2.
引用
收藏
页码:323 / 348
页数:26
相关论文
共 50 条
  • [1] Ternary Derivations of Jordan Superalgebras
    A. I. Shestakov
    Algebra and Logic, 2014, 53 : 323 - 348
  • [2] Generalized Derivations and Centroids of Ternary Jordan Superalgebras
    Yu Zhang
    Xiaomin Tang
    Advances in Applied Clifford Algebras, 2021, 31
  • [3] Generalized Derivations and Centroids of Ternary Jordan Superalgebras
    Zhang, Yu
    Tang, Xiaomin
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2021, 31 (03)
  • [4] Derivations of the Cheng-Kac Jordan superalgebras
    Barreiro, Elisabete
    Elduque, Alberto
    Martinez, Consuelo
    JOURNAL OF ALGEBRA, 2011, 338 (01) : 144 - 156
  • [5] Ternary Jordan *-derivations in C*-ternary algebras
    Gordji, M. Eshaghi
    Gharetapeh, S. Kaboli
    Rashidi, E.
    Karimi, T.
    Aghaei, M.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (02) : 463 - 470
  • [6] δ-Derivations of simple finite-dimensional Jordan superalgebras
    N. B. Kaygorodov
    Algebra and Logic, 2007, 46 : 318 - 329
  • [7] δ-derivations of simple finite-dimensional Jordan superalgebras
    Kaygorodov, N. B.
    ALGEBRA AND LOGIC, 2007, 46 (05) : 318 - 329
  • [8] Approximate ternary Jordan derivations on Banach ternary algebras
    Savadkouhi, M. Bavand
    Gordji, M. Eshaghi
    Rassias, J. M.
    Ghobadipour, N.
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (04)
  • [9] Ternary derivations of separable associative and jordan algebras
    Shestakov, A. I.
    SIBERIAN MATHEMATICAL JOURNAL, 2012, 53 (05) : 943 - 956
  • [10] Ternary derivations of separable associative and jordan algebras
    A. I. Shestakov
    Siberian Mathematical Journal, 2012, 53 : 943 - 956