Opuscula Mathematica
Opuscula Math. 28, no. 2 (2008), 123-127

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

Wit Foryś
Abstract. 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.
Keywords: free monoid, retract, lattice, complete lattice.
Mathematics Subject Classification: 68Q05.
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Wit Foryś
PWSZ Nowy Sącz, Institute of Economics, ul. Jagiellońska 61, 33-300 Nowy Sącz, Poland
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Received: 2006-11-05.
Revised: 2007-10-10.
Accepted: 2007-10-12.
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Wit Foryś, On a complete lattice of retracts of a free monoid generated by three elements, Opuscula Math. 28, no. 2 (2008), 123-127, http://dx.doi.org/10.7494/OpMath.2008.28.2.123.
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