English

Crossed modules for Hom-Lie antialgebras

Rings and Algebras 2021-02-19 v4

Abstract

In this paper, we introduced the concept of crossed module for Hom-Lie antialgebras. It is proved that the category of crossed modules for Hom-Lie antialgebras and the category of Cat1Cat^1-Hom-Lie antialgebras are equivalent to each other. The relationship between the crossed module extension of Hom-Lie antialgebras and the third cohomology group are investigated.

Keywords

Cite

@article{arxiv.1903.08870,
  title  = {Crossed modules for Hom-Lie antialgebras},
  author = {Tao Zhang and Heyu Zhang},
  journal= {arXiv preprint arXiv:1903.08870},
  year   = {2021}
}

Comments

21pages,some English, misprints are corrected