A note on Morita equivalence to graph inverse semigroups
Martha Du Preez, Robert Grimley, Evan Lira, David Milan, and Shreyas, Ramamurthy
TL;DR
This paper characterizes inverse semigroups that are Morita equivalent to graph inverse semigroups and extends the analysis to those associated with left cancellative categories.
Contribution
It provides a characterization of inverse semigroups Morita equivalent to graph inverse semigroups and generalizes to inverse semigroups from left cancellative categories.
Findings
Identifies conditions for Morita equivalence to graph inverse semigroups
Extends the framework to inverse semigroups from left cancellative categories
Provides a unifying perspective on inverse semigroup Morita theory
Abstract
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.
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Taxonomy
Topicssemigroups and automata theory · Advanced Algebra and Logic · DNA and Biological Computing