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International Journal of Computer Mathematics Volume 33, 1990 - Issue 1-2
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Original Articles

On the family of retracts of free monoids

Wit Forys Institute of Computer Science, Jagiellonian University, Kopernika 27, Krakow, 31-015, Poland
Pages 31-36 | Received 20 Jul 1989, Published online: 19 Mar 2007
 
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Abstract

We prove that a family of all retracts of a free monoid A ∗ partially ordered by the relation of inclusion forms a complete lattice. We also formulate some new conditions of iff type for a submonoid of A ∗ to be a retract of A ∗.

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