English

Jacobi-Jordan algebras

Rings and Algebras 2014-07-25 v3

Abstract

We study finite-dimensional commutative algebras, which satisfy the Jacobi identity. Such algebras are Jordan algebras. We describe some of their properties and give a classification in dimensions n<7n<7 over algebraically closed fields of characteristic not 22 or 33.

Keywords

Cite

@article{arxiv.1404.5435,
  title  = {Jacobi-Jordan algebras},
  author = {Dietrich Burde and Alice Fialowski},
  journal= {arXiv preprint arXiv:1404.5435},
  year   = {2014}
}
R2 v1 2026-06-22T03:55:32.147Z