English

Two axes in non-commutative algebras with a Frobenius form

Rings and Algebras 2026-01-29 v6 Group Theory

Abstract

Throughout this paper AA is a commutative non-associative algebra over a field F\mathbb{F} of characteristic not 2.2. In addition AA posses a Frobenius form. We obtain detailed information about the multiplication in AA given two axes of type half in A.A.

Keywords

Cite

@article{arxiv.2506.11303,
  title  = {Two axes in non-commutative algebras with a Frobenius form},
  author = {Yoav Segev},
  journal= {arXiv preprint arXiv:2506.11303},
  year   = {2026}
}

Comments

55 pages, corrected some typos