A new construction for free inverse semigroups
type: Item
instance of: scholarly article
title: A new construction for free inverse semigroups
zbMATH Open document ID: 0535.20035
DOI: 10.1007/BF02573460
author: Mark Alexander Reynolds
published in: Semigroup Forum
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134726
review text: If X is any non-empty set we denote the free group on X by G(X) and the symmetric inverse semigroup (under composition) of partial one-to-one transformations of G(X) by \({\mathcal I}_{G(X)}\). In this paper the free inverse semigroup \(I_ X\) on X is constructed as a certain inverse subsemigroup of \({\mathcal I}_{G(X)}\). The elements of \(I_ X\) are partial transformations of G(X) which are particularly simple to describe.
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20M20
zbMATH DE Number: 3849498
zbMATH Keywords: free inverse semigroup
zbMATH Keywords: partial transformations
MaRDI profile type: Publication
cites work: Q3848243
cites work: Free Inverse Semigroups
cites work: A note on free inverse semigroups
cites work: Free inverse semigroups
cites work: Free generators in free inverse semigroups
OpenAlex ID: W2044020797
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description: scientific article; zbMATH DE number 3849498