| Texto completo | |
| Autor(es): |
Jerez, Emmanuel
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | COMMUNICATIONS IN ALGEBRA; v. N/A, p. 27-pg., 2025-01-03. |
| Resumo | |
We consider the category of partial actions, where the group and the set upon which the group acts can vary. Within this framework, we develop a theory of quotient partial actions and prove that this category is both (co)complete and encompasses the category of groupoids as a full subcategory. In particular, we establish the existence of a pair of adjoint functors, denoted as Phi:Grpd -> PA and Psi:PA -> Grpd , with the property that Psi Phi congruent to 1Grpd . Next, for a given groupoid Gamma, we provide a characterization of all partial actions that allow the recovery of the groupoid Gamma through Psi . This characterization is expressed in terms of certain normal subgroups of a universal group constructed from Gamma. (AU) | |
| Processo FAPESP: | 22/12963-7 - (Co)homologia e ações parciais |
| Beneficiário: | Emmanuel Jerez Usuga |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |