A canonical ordering for free self-distributive systems-Reference-Cited by-同舟云学术

A canonical ordering for free self-distributive systems

Published:1994 Issue:1 Volume:122 Page:31-36
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dehornoy Patrick

Abstract

We construct in free left distributive systems a natural relation that corresponds to the lexicographical ordering on sequences and proves to be a linear ordering. Applications to a word problem and to a characterization of free objects are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-122-01/S0002-9939-1994-1191866-6/S0002-9939-1994-1191866-6.pdf

Reference12 articles.

1. Automorphic sets and braids and singularities;Brieskorn, E.,1988

2. Π¹₁-complete families of elementary sequences;Dehornoy, Patrick;Ann. Pure Appl. Logic,1988

3. Free distributive groupoids;Dehornoy, Patrick;J. Pure Appl. Algebra,1989

4. Sur la structure des gerbes libres;Dehornoy, Patrick;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1989

5. Preuve de la conjecture d’irréflexivité pour les structures distributives libres;Dehornoy, Patrick;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1992

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