English

A division Algorithm for the Free Left Distributive Algebra

Logic 2016-09-06 v1

Abstract

The normal form theorem, proved in R. Laver, On the left distributive law and the freeness of an algebra of elementary embeddings, Advances in Mathematics 91 (1992), 209-231, for the free algebra \CalA\Cal A on one generator xx satisfying the left distributive law a(bc)=(ab)(ac)a(bc) = (ab)(ac) is extended by showing that members of \CalA\Cal A can be put into a "division form."

Keywords

Cite

@article{arxiv.math/9204203,
  title  = {A division Algorithm for the Free Left Distributive Algebra},
  author = {Richard Laver},
  journal= {arXiv preprint arXiv:math/9204203},
  year   = {2016}
}