Biderivations and linear commuting maps on simple generalized Witt algebras over a field

نویسندگان

  • Zhengxin Chen
  • ZHENGXIN CHEN
چکیده

Let W be a simple generalized Witt algebras over a field of characteristic zero. In this paper, it is proved that each anti-symmetric biderivation of W is inner. As an application of biderivations, it is shown that a linear map ψ on W is commuting if and only if ψ is a scalar multiplication map on W. The commuting automorphisms and derivations of W are determined.

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تاریخ انتشار 2017