English

On 2-generated minimal Taylor algebras of size 4

Logic 2026-04-08 v1

Abstract

We prove that any 2-generated minimal Taylor algebra on a domain of size 4 is not simple. In addition, we find all such algebras up to isomorphism and term-equivalence.

Keywords

Cite

@article{arxiv.2604.05214,
  title  = {On 2-generated minimal Taylor algebras of size 4},
  author = {Zarathustra Brady and Petar Đapić and Vukašin Đinović and Petar Marković and Aleksandar Prokić and Veljko Toljić and Vlado Uljarević},
  journal= {arXiv preprint arXiv:2604.05214},
  year   = {2026}
}