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.
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AGH Univeristy of Science and Technology Press
2008-01-01
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Series: | Opuscula Mathematica |
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Online Access: | http://www.opuscula.agh.edu.pl/vol28/2/art/opuscula_math_2810.pdf |
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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 |
_version_ |
1725630351386083328 |