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Recent developments in inverse semigroup theory

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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… Click to show full abstract

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.

Keywords: semigroup theory; recent developments; developments inverse; inverse semigroup

Journal Title: Semigroup Forum
Year Published: 2019

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