Journal of Jilin University Science Edition

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Generalized Derivations of Leibniz Algebras

ZHOU Jia1, MA Lili2   

  1. 1. School of Information Technology, Jilin Agricultural University, Changchun 130118, China;2. School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China
  • Received:2016-01-07 Online:2016-11-26 Published:2016-11-29
  • Contact: ZHOU Jia E-mail:1316023705@qq.com

Abstract: By giving some basic properties of the generalized derivation algebra GDer(L), quasiderivation[JP] algebra QDer(L), centroid C(L), quasicentroid QC(L) and center derivation algebra ZDer(L) of a Leibniz algebra L, we  proved that QDer (L) could be embedded and become a derivation for a larger Leibniz algebra.

Key words: generalized derivation, Leibniz algebra, centroid, quasiderivation

CLC Number: 

  • O152.5