TITLE

Algebras of Ehresmann semigroups and categories

AUTHOR(S)
Stein, Itamar
PUB. DATE
December 2017
SOURCE
Semigroup Forum;Dec2017, Vol. 95 Issue 3, p509
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
E-Ehresmann semigroups are a commonly studied generalization of inverse semigroups. They are closely related to Ehresmann categories in the same way that inverse semigroups are related to inductive groupoids. We prove that under some finiteness condition, the semigroup algebra of an E-Ehresmann semigroup is isomorphic to the category algebra of the corresponding Ehresmann category. This generalizes a result of Steinberg who proved this isomorphism for inverse semigroups and inductive groupoids and a result of Guo and Chen who proved it for ample semigroups. We also characterize E-Ehresmann semigroups whose corresponding Ehresmann category is an EI-category and give some natural examples.
ACCESSION #
126245876

 

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