English

Isoclinism and factor set in regular Hom-Lie Superalgebras

Rings and Algebras 2023-06-21 v1

Abstract

Hom-Lie superalgebras can be considered as the deformation of Lie superalgebras; which are Z2\mathbb{Z}_2-graded generalization of Hom-Lie algebras. The motivation of this paper is to introduce the concept of isoclinism and factor set in regular Hom-Lie superalgebras. Finally, we obtain that two finite same dimensional regular Hom-Lie superalgebras are isoclinic if and only if they are isomorphic.

Keywords

Cite

@article{arxiv.2209.05175,
  title  = {Isoclinism and factor set in regular Hom-Lie Superalgebras},
  author = {N. Nandi and R. N. Padhan and K. C. Pati},
  journal= {arXiv preprint arXiv:2209.05175},
  year   = {2023}
}