Generalized derivations of Hom-Jordan algebras

Chenrui Yao; Yao Ma; Liangyun Chen

Generalized derivations of Hom-Jordan algebras

Rings and Algebras 2019-06-12 v1

Authors: Chenrui Yao , Yao Ma , Liangyun Chen

Abstract

In this paper, we give some properties of generalized derivation algebras of Hom-Jordan algebras. In particular, we show that $GDer(V) = QDer(V) + QC(V)$ , the sum of the quasiderivation algebra and the quasicentroid. We also prove that $QDer(V)$ can be embedded as derivations into a larger Hom-Jordan algebra. General results on centroids of Hom-Jordan algebras are also developed in this paper.

Keywords

Hom-Jordan algebra generalized derivation quasiderivation quasicentroid centroid embedding

Cite

@article{arxiv.1906.04551,
  title  = {Generalized derivations of Hom-Jordan algebras},
  author = {Chenrui Yao and Yao Ma and Liangyun Chen},
  journal= {arXiv preprint arXiv:1906.04551},
  year   = {2019}
}

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