English

Radicals in flip subalgebras

Rings and Algebras 2024-09-10 v1 Group Theory

Abstract

We develop methods for determining key properties (simplicity and the dimension of radical) of flip subalgebras in Matsuo algebras. These are interesting classes of commutative non-associative algebras that were introduced within the broader paradigm of axial algebras.

Keywords

Cite

@article{arxiv.2409.05236,
  title  = {Radicals in flip subalgebras},
  author = {Bernardo G. Rodrigues and Sergey Shpectorov},
  journal= {arXiv preprint arXiv:2409.05236},
  year   = {2024}
}
R2 v1 2026-06-28T18:37:56.871Z