A NORMAL FORM FOR THE FREE LEFT DISTRIBUTIVE LAW

Author:

DEHORNOY PATRICK1

Affiliation:

1. Mathématiques, Université, 14 032 Caen, France

Abstract

We construct a new normal form for one variable terms up to left distributivity. The proof that this normal form exists for every term is considerably simpler than the corresponding proof for the forms previously introduced by Richard Laver. In particular the determination of the present normal form can be made in a primitive recursive way.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some aspects of the SD-world;Nonassociative Mathematics and its Applications;2019

2. The braid shelf;Journal of Knot Theory and Its Ramifications;2018-10

3. Left division in the free left distributive algebra on many generators;Archive for Mathematical Logic;2015-12-29

4. The Fine Structure of LD-Equivalence;Advances in Mathematics;2000-11

5. STRANGE QUESTIONS ABOUT BRAIDS;Journal of Knot Theory and Its Ramifications;1999-08

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