Well-foundedness conditions connected with left-distributivity.
type: Item
instance of: scholarly article
title: Well-foundedness conditions connected with left-distributivity.
zbMATH Open document ID: 1058.20055
author: Richard Laver
author: John Atwell Moody
published in: Algebra Universalis
publication date: 2005-04-19T00:00:00Z
review text: Let \(k\) be a cardinal. By the free left-distributive algebra \({\mathcal A}_k\) is meant a groupoid generated by \(k\) free generators satisfying the identity \(a(bc)=(ab)(bc)\). The purpose of the paper is to describe a conjecture connected with left division in \({\mathcal A}_k\) and three propositions related to it. The first statement of the conjecture is known to be true for \({\mathcal A}_1\).
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 20N02
Mathematics Subject Classification ID: 08B20
Mathematics Subject Classification ID: 20F36
zbMATH DE Number: 2158766
zbMATH Keywords: free left-distributive algebras
zbMATH Keywords: normal forms
zbMATH Keywords: left divisors
zbMATH Keywords: braid groups
MaRDI profile type: Publication
Wikidata QID: Q120001933
full work available at URL: s00012-002-8175-2
OpenAlex ID: W2038868898
DOI: 10.1007/S00012-002-8175-2
description: scientific article; zbMATH DE number 2158766