English

The weakest nontrivial idempotent equations

Logic 2017-10-18 v2

Abstract

An equational condition is a set of equations in an algebraic language, and an algebraic structure satisfies such a condition if it possesses terms that meet the required equations. We find a single nontrivial equational condition which is implied by any nontrivial idempotent equational condition.

Cite

@article{arxiv.1609.00531,
  title  = {The weakest nontrivial idempotent equations},
  author = {Miroslav Olšák},
  journal= {arXiv preprint arXiv:1609.00531},
  year   = {2017}
}
R2 v1 2026-06-22T15:38:30.066Z