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.
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2024 |
| Country: | Brasil |
| Institution: | Universidade Federal do Rio Grande do Sul (UFRGS) |
| Repository: | Repositório Institucional da UFRGS |
| Language: | English |
| OAI Identifier: | oai:www.lume.ufrgs.br:10183/284255 |
| Online Access: | http://hdl.handle.net/10183/284255 |
| Access Level: | Open access |
| Keyword: | Grupoides Algebra : Grupoides Groupoid Partial groupoid representation partial groupoid algebra Birget–Rhodes expansion. |
| Summary: | 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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