Recent developments in inverse semigroup theory

Mark V. Lawson*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
164 Downloads (Pure)


After reviewing aspects of the development of inverse semigroup theory, we describe an approach to studying them which views them as ‘non-commutative meet semilattices’. This leads to non-commutative versions of Stone duality and connections with the contemporary theory of étale groupoids and infinite groups analogous to the Thompson groups.

Original languageEnglish
Pages (from-to)103–118
Number of pages16
JournalSemigroup Forum
Early online date1 Oct 2019
Publication statusPublished - Feb 2020


  • Inverse semigroups
  • Stone duality
  • Topological groupoids

ASJC Scopus subject areas

  • Algebra and Number Theory


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