English

Polynomial identities of finite prime Universal algebras

Rings and Algebras 2025-12-09 v1

Abstract

We prove that two finite prime Ω\Omega-algebras defined over the same unital commutative ring and satisfying the same set of polynomial identities are isomorphic.

Keywords

Cite

@article{arxiv.2512.06135,
  title  = {Polynomial identities of finite prime Universal algebras},
  author = {Yuri Bahturin and Daniela Martinez Correa and Diogo Diniz and Felipe Yasumura},
  journal= {arXiv preprint arXiv:2512.06135},
  year   = {2025}
}