English

Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras

Rings and Algebras 2021-10-27 v1 Mathematical Physics math.MP

Abstract

Several recent results concerning Hom-Leibniz algebra are reviewed, the notion of symmetric Hom-Leibniz superalgebra is introduced and some properties are obtained. Classification of 2-dimensional Hom-Leibniz algebras is provided. Centroids and derivations of multiplicative Hom-Leibniz algebras are considered including the detailed study of 2-dimensional Hom-Leibniz algebras.

Keywords

Cite

@article{arxiv.2110.13364,
  title  = {Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras},
  author = {Anja Arfa and Nejib Saadaoui and Sergei Silvestrov},
  journal= {arXiv preprint arXiv:2110.13364},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2105.09119