English

Congruence permutability is prime

Combinatorics 2021-07-20 v1 Discrete Mathematics

Abstract

We give a combinatorial proof that congruence permutability is prime in the lattice of interpretability types of varieties. Thereby, we settle a 1984 conjecture of Garcia and Taylor.

Cite

@article{arxiv.2107.08456,
  title  = {Congruence permutability is prime},
  author = {Gergő Gyenizse and Miklós Maróti and László Zádori},
  journal= {arXiv preprint arXiv:2107.08456},
  year   = {2021}
}
R2 v1 2026-06-24T04:17:51.717Z