Extensions of (metric) Hom-Jacobi-Jordan algebras
arXiv:2208.01165
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.