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The quasiderivations of Hom-Lie color algebras

Yi Zhao

In this paper, we give some basic properties of a Hom-Lie color algebra L. In particular, we prove that the quasiderivations of L can be embedded as derivations in a lager Hom-Lie color algerbra, and obtain a direct sum decomposition of Der(L) when the annihilator of L is equal to zero.