Note on the construction of free monoids

Stephen Lack*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We construct free monoids in a monoidal category [InlineMediaObject not available: See fulltext.] with finite limits and countable colimits, in which tensoring on either side preserves reflexive coequalizers and colimits of countable chains. In particular this will be the case if tensoring preserves sifted colimits.

Original languageEnglish
Pages (from-to)17-29
Number of pages13
JournalApplied Categorical Structures
Issue number1
Publication statusPublished - Feb 2010
Externally publishedYes


  • Free monoid
  • Monoidal category
  • Reflexive coequalizer


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