On Ehresmann semigroups

Research output: Contribution to journalArticlepeer-review

Abstract

We formulate an alternative approach to describing Ehresmann semigroups by means of left and right étale actions of a meet semilattice on a category. We also characterize the Ehresmann semigroups that arise as the set of all subsets of a finite category. As applications, we prove that every restriction semigroup can be nicely embedded into a restriction semigroup constructed from a category, and we describe when a restriction semigroup can be nicely embedded into an inverse semigroup.

Original languageEnglish
JournalSemigroup Forum
Early online date4 Jun 2021
DOIs
Publication statusE-pub ahead of print - 4 Jun 2021

Keywords

  • Categories
  • Ehresmann semigroups
  • Finite Boolean algebras

ASJC Scopus subject areas

  • Algebra and Number Theory

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