Opuscula Math. 28, no. 2 (2008), 123-127
Opuscula Mathematica
On a complete lattice of retracts of a free monoid generated by three elements
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.
- Wit Foryś
- PWSZ Nowy Sącz, Institute of Economics, ul. Jagiellońska 61, 33-300 Nowy Sącz, Poland
- Received: 2006-11-05.
- Revised: 2007-10-10.
- Accepted: 2007-10-12.
