Heunen, C; Contreras, I; Cattaneo, A S (2013). Relative Frobenius algebras are groupoids. Journal of Pure and Applied Algebra, 217(1):114-124.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Language: | English |
| Date: | January 2013 |
| Deposited On: | 21 Mar 2013 12:51 |
| Last Modified: | 09 Nov 2023 02:39 |
| Publisher: | Elsevier |
| ISSN: | 0022-4049 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/j.jpaa.2012.04.002 |
Heunen, C