Centralizers in the full transformation semigroup.
type: Item
instance of: scholarly article
title: Centralizers in the full transformation semigroup.
zbMATH Open document ID: 1267.20090
author: João Araújo
author: Janusz Konieczny
published in: Semigroup Forum
publication date: 2013-03-21T00:00:00Z
full work available at URL: http://hdl.handle.net/10400.2/3795
review text: The authors study centralizers of elements in the full transformation semigroup on an arbitrary set. The main result is a rather technical criterion for a transformation to belong to the centralizer of another transformation, given in terms of connected components of the action graph. The results simplifies a bit in some special cases, namely, for transformations on finite sets, for idempotents and for injective transformations. The last section of the paper is a list of several open problems in the area.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 20M20
zbMATH DE Number: 6147881
zbMATH Keywords: centralizers
zbMATH Keywords: full transformation semigroups
zbMATH Keywords: partial transformations
MaRDI profile type: Publication
OpenAlex ID: W2018182980
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DOI: 10.1007/S00233-012-9424-0
description: scientific article; zbMATH DE number 6147881