Journal of Jilin University Science Edition

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Generalized Derivations of JordanLie Algebras

ZHOU Jia1, WANG Zenghui2   

  1. 1. School of Information and Technology, Jilin Agricultural University, Changchun 130118, China;2. Department of Mathematical Education, College of Humanities and Science ofNortheast Normal University, Changchun 130117, China
  • Received:2016-05-16 Online:2017-07-26 Published:2017-07-13
  • Contact: WANG Zenghui E-mail:wzh195693@126.com

Abstract: We gave some basic properties of the generalized derivation algebra GDer(L), quasiderivation algebra QDer(L), centroid C(L), quasicentroid QC(L) and center derivation algebra ZDer(L) of a JordanLie algebra L. We also proved that QDer(L) can be embedded as derivations in a larger JordanLie algebra.

Key words: generalized derivation, quasiderivation, centroid, JordanLie algebra

CLC Number: 

  • O152.5