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A division Algorithm for the Free Left Distributive Algebra

Richard Laver
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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 $\Cal A$ on one generator $x$ satisfying the left distributive law $a(bc) = (ab)(ac)$ is extended by showing that members of $\Cal A$ can be put into a "division form."

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Richard Laver. 1992-04-13. A division Algorithm for the Free Left Distributive Algebra. https://arxiv.org/abs/math/9204203

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