On generalized Jordan prederivations and generalized prederivations of Lie color algebras

Chenrui Yao ^[1] ; Yao Ma ^[1] ; Liangyun Chen ^[1]
1. [1] Northeast Normal University
  
  Northeast Normal University
  
  China
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 59, Nº. 2, 2018, págs. 471-483
Idioma: inglés
DOI: 10.33044/revuma.v59n2a13
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Resumen
- In this paper, the concepts of (generalized) (θ,φ)-prederivations and (generalized) Jordan (θ,φ)-prederivations on a Lie color algebra are introduced. It is proved that Jordan (θ,φ)-prederivations (resp. generalized Jordan (θ,φ)-prederivations) are (θ,φ)-prederivations (resp. generalized (θ,φ)-prederivations) on a Lie color algebra under some conditions. In particular, Jordan θ-prederivations are θ-prederivations on a Lie color algebra.