Defining relations for idempotent generators in finite full transformation semigroups.
type: Item
instance of: scholarly article
title: Defining relations for idempotent generators in finite full transformation semigroups.
zbMATH Open document ID: 1273.20065
author: James East
published in: Semigroup Forum
publication date: 2013-06-14T00:00:00Z
review text: The author gives a presentation for the semigroup of all non-invertible total transformations of \(\{1,2,\dots,n\}\) in terms of the generating set consisting of all idempotents of rank \(n-1\). The presentation has only six families of nice and short relations, however, the proof is, naturally, rather technical.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 6176149
zbMATH Keywords: semigroups of transformations
zbMATH Keywords: idempotents
zbMATH Keywords: presentations
zbMATH Keywords: generators and relations
MaRDI profile type: Publication
full work available at URL: s00233-012-9447-6
OpenAlex ID: W2045738293
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DOI: 10.1007/S00233-012-9447-6
description: scientific article; zbMATH DE number 6176149