Finite left distributive algebras with one generator
type: Item
instance of: scholarly article
title: Finite left distributive algebras with one generator
zbMATH Open document ID: 0889.20039
DOI: 10.1016/S0022-4049(96)00071-0
author: Aleš Drápal
published in: Journal of Pure and Applied Algebra
publication date: 1998-06-24T00:00:00Z
review text: The paper initiates the study of finite monogenerated left self-distributive groupoids (i.e., groupoids satisfying \(x\cdot yz=xy\cdot xz\)). Many technical results (which should hopefully lead to a complete description of the groupoids mentioned) are proven. Among others, the monogenerated groupoids are shown to be closely related to the well-known groupoids \(A_k(*)\) defined on \(\{1,\dots,2^k\}\) by \(a*1\equiv a+1\bmod{2^k}\).
Mathematics Subject Classification ID: 20N02
Mathematics Subject Classification ID: 08A05
zbMATH DE Number: 1089292
zbMATH Keywords: finite monogenerated left self-distributive groupoids
reviewed by: Tomáš Kepka
MaRDI profile type: Publication
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full work available at URL: s0022-4049(96)00071-0
OpenAlex ID: W2043171620
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description: scientific article; zbMATH DE number 1089292