On a complete lattice of retracts of a free monoid generated by three elements

We prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice.

Bibliographic Details
Main Author: Wit Foryś
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2008-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol28/2/art/opuscula_math_2810.pdf
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spelling doaj-bc5c1c3b39f64109a88bcf93e496640c2020-11-24T23:04:27ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742008-01-012821231272810On a complete lattice of retracts of a free monoid generated by three elementsWit Foryś0PWSZ Nowy Sącz, Institute of Economics, ul. Jagiellońska 61, 33-300 Nowy Sącz, PolandWe prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice.http://www.opuscula.agh.edu.pl/vol28/2/art/opuscula_math_2810.pdffree monoidretractlatticecomplete lattice
collection DOAJ
language English
format Article
sources DOAJ
author Wit Foryś
spellingShingle Wit Foryś
On a complete lattice of retracts of a free monoid generated by three elements
Opuscula Mathematica
free monoid
retract
lattice
complete lattice
author_facet Wit Foryś
author_sort Wit Foryś
title On a complete lattice of retracts of a free monoid generated by three elements
title_short On a complete lattice of retracts of a free monoid generated by three elements
title_full On a complete lattice of retracts of a free monoid generated by three elements
title_fullStr On a complete lattice of retracts of a free monoid generated by three elements
title_full_unstemmed On a complete lattice of retracts of a free monoid generated by three elements
title_sort on a complete lattice of retracts of a free monoid generated by three elements
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2008-01-01
description We prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice.
topic free monoid
retract
lattice
complete lattice
url http://www.opuscula.agh.edu.pl/vol28/2/art/opuscula_math_2810.pdf
work_keys_str_mv AT witforys onacompletelatticeofretractsofafreemonoidgeneratedbythreeelements
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