<p>We characterize the inverse semigroups that are Morita equivalent to graph inverse semigroups. We also consider a generalization to inverse semigroups associated with left cancellative categories.</p>

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A note on Morita equivalence to graph inverse semigroups

  • Martha Du Preez,
  • Robert Grimley,
  • Evan Lira,
  • David Milan,
  • Shreyas Ramamurthy

摘要

We characterize the inverse semigroups that are Morita equivalent to graph inverse semigroups. We also consider a generalization to inverse semigroups associated with left cancellative categories.