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### Published volumes

##### 1936-1944
On generalized Jordan prederivations and generalized prederivations of Lie color algebras
Volume 59, no. 2 (2018), pp. 471–483

DOI: https://doi.org/10.33044/revuma.v59n2a13

### Abstract

In this paper, the concepts of (generalized) $( \theta, \varphi)$-prederivations and (generalized) Jordan $( \theta, \varphi)$-prederivations on a Lie color algebra are introduced. It is proved that Jordan $( \theta, \varphi)$-prederivations (resp. generalized Jordan $( \theta, \varphi)$-prederivations) are $( \theta, \varphi)$-prederivations (resp. generalized $( \theta, \varphi)$-prederivations) on a Lie color algebra under some conditions. In particular, Jordan $\theta$-prederivations are $\theta$-prederivations on a Lie color algebra.