Partial groupoid representations and a relation with the Birget–Rhodes expansion
Weintroduce partial groupoid representations of a finite groupoid G on an algebra A. We also show that the partial groupoid representations of G are in one-to-one correspondence with the representations of the algebra generated by the Birget–Rhodes expansion GBR of G.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | Brasil |
| Institución: | Universidade Federal do Rio Grande do Sul (UFRGS) |
| Repositorio: | Repositório Institucional da UFRGS |
| Idioma: | inglés |
| OAI Identifier: | oai:www.lume.ufrgs.br:10183/284255 |
| Acceso en línea: | http://hdl.handle.net/10183/284255 |
| Access Level: | acceso abierto |
| Palabra clave: | Grupoides Algebra : Grupoides Groupoid Partial groupoid representation partial groupoid algebra Birget–Rhodes expansion. |
| Sumario: | Weintroduce partial groupoid representations of a finite groupoid G on an algebra A. We also show that the partial groupoid representations of G are in one-to-one correspondence with the representations of the algebra generated by the Birget–Rhodes expansion GBR of G. |
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