On free inverse semigroups
type: Item
instance of: scholarly article
title: On free inverse semigroups
zbMATH Open document ID: 0957.20044
DOI: 10.1007/PL00006011
published in: Semigroup Forum
publication date: 2001-03-21T00:00:00Z
review text: For a given set \(X\), denote by \(G_X\) the set of finite directed trees whose edges are labelled by members of \(X\), with two distinguished vertices. In this note, using techniques of rewriting theory, a new proof is given of the theorem of Munn that the free inverse semigroup on \(X\) is isomorphic to a semigroup defined on the set of so-called birooted word trees on \(X\). The free inverse semigroup emerges as a quotient of \(G_X\) regarded as a certain algebra.
Mathematics Subject Classification ID: 20M18
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 1491107
zbMATH Keywords: finite directed trees
zbMATH Keywords: free inverse semigroups
zbMATH Keywords: birooted word trees
author: Claudio Gutierrez
reviewed by: Peter M. Higgins
MaRDI profile type: Publication
full work available at URL: pl00006011
OpenAlex ID: W2039196925
Recommended article: Free inverse semigroups
Recommended article: Free Inverse Semigroups
Recommended article: Q4109829
Recommended article: Free strict inverse semigroups
Recommended article: RELATIVELY FREE INVERSE SEMIGROUPS
Recommended article: Free Objects in Certain Varieties of Inverse Semigroups
Recommended article: A new construction for free inverse semigroups
Recommended article: Free topological inverse semigroups
Recommended article: Properties of Relatively Free Inverse Semigroups
Recommended article: Free Products of Inverse Semigroups
description: scientific article; zbMATH DE number 1491107