Publication: Relative Frobenius algebras are groupoids
Relative Frobenius algebras are groupoids
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Heunen, C., Contreras, I., & Cattaneo, A. S. (2013). Relative Frobenius algebras are groupoids. Journal of Pure and Applied Algebra, 217, 114–124. https://doi.org/10.1016/j.jpaa.2012.04.002
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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. (C) 2012 Elsevier B.V. All rights reserved.
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- Heunen, C
- Contreras, I
- Cattaneo, A S
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Heunen, C., Contreras, I., & Cattaneo, A. S. (2013). Relative Frobenius algebras are groupoids. Journal of Pure and Applied Algebra, 217, 114–124. https://doi.org/10.1016/j.jpaa.2012.04.002
