English

Extensions of (metric) Hom-Jacobi-Jordan algebras

Rings and Algebras 2024-02-14 v6

Abstract

The main purpose of this paper is to provide a second cohomology group of a (metric) Hom-Jacobi algebra with coefficients in a given representation. Moreover, we show that second cohomology group classifies abelian extensions of a (metric) Hom-Jacobi algebra algebra by a representation.

Keywords

Cite

@article{arxiv.2208.01165,
  title  = {Extensions of (metric) Hom-Jacobi-Jordan algebras},
  author = {Nejib Saadaoui},
  journal= {arXiv preprint arXiv:2208.01165},
  year   = {2024}
}