Relative Frobenius algebras are groupoids

Details Relative Frobenius algebras are groupoids Relative Frobenius algebras are groupoids

2011-12-06

arxiv.org/abs/1112.1284v2

Mathematics

Category Theory

15 pages

Scientific paper

We functorially characterize groupoids as special dagger Frobenius algebras
in the category of sets and relations. This is then generalized to a non-unital
setting, by establishing an adjunction between H*-algebras in the category of
sets and relations, and locally cancellative regular semigroupoids. Finally, we
study a universal passage from the former setting to the latter.

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