On braid words and irreflexivity

DOI10.1007/BF01188182zbMath0793.08007arXivmath/9204208MaRDI QIDQ1315328

David M. Larue

Publication date: 22 August 1994

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9204208

zbMATH Keywords

left-distributive algebra

Mathematics Subject Classification ID

Consistency and independence results (03E35) Total orders (06A05) Free algebras (08B20) Word problems (aspects of algebraic structures) (08A50)

Related Items (21)

REPRESENTING BRAIDS BY AUTOMORPHISMS ⋮ STRANGE QUESTIONS ABOUT BRAIDS ⋮ Persistence of cyclic left distributive algebras ⋮ Finite left distributive algebras with one generator ⋮ Braid group actions on left distributive structures, and well orderings in the braid groups ⋮ Left division in the free left distributive algebra on one generator ⋮ The free one-generated left distributive algebra: basics and a simplified proof of the division algorithm ⋮ CONSTRUCTION OF SELF-DISTRIBUTIVE OPERATIONS AND CHARGED BRAIDS ⋮ ORDERINGS ON ARTIN–TITS GROUPS ⋮ A fast method for comparing braids ⋮ Braid Groups and Left Distributive Operations ⋮ A Canonical Ordering for Free Self-Distributive Systems ⋮ The group of parenthesized braids. ⋮ The braid shelf ⋮ Laver and set theory ⋮ Left division in the free left distributive algebra on many generators ⋮ Actions of the Braid Group, and New Algebraic Proofs of Results of Dehornoy and Larue ⋮ Some aspects of the SD-world ⋮ The fine structure of LD-equivalence ⋮ Another Use of Set Theory ⋮ Critical points in an algebra of elementary embeddings

Cites Work

• Unnamed Item
• The left distributive law and the freeness of an algebra of elementary embeddings
• Free distributive groupoids
• The adjoint representation of left distributive structures
• Braids, Links, and Mapping Class Groups. (AM-82)

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