Groupoids with quasigroup and Latin square properties.
type: Item
instance of: scholarly article
title: Groupoids with quasigroup and Latin square properties.
zbMATH Open document ID: 1167.20037
author: J. Gałuszka
published in: Discrete Mathematics
publication date: 2009-01-28T00:00:00Z
review text: The author analyzes connections among some groupoid equations and the quasigroup structure of the groupoid. To describe these connections he applies some combinatorial methods involving, among other things, the concept of the cycle type of a permutation. Connections of some groupoid identities with the quasigroup and Latin square properties are also investigated using combinatorial methods.
reviewed by: C. Pereira da Silva
Mathematics Subject Classification ID: 20N02
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 5499781
zbMATH Keywords: idempotent groupoids
zbMATH Keywords: Latin squares
zbMATH Keywords: Cayley tables
zbMATH Keywords: right quasigroups
zbMATH Keywords: groupoid identities
MaRDI profile type: Publication
full work available at URL: j.disc.2007.12.021
OpenAlex ID: W2090930077
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DOI: 10.1016/J.DISC.2007.12.021
description: scientific article; zbMATH DE number 5499781