On universal gradings, versal gradings and Schurian generated categories
Categories over a field k can be graded by di erent groups in a connected way; we consider morphisms between these gradings in order to define the fundamental grading group. We prove that this group is isomorphic to the fundamental group à la Grothendieck as considered in previous papers. In case th...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/11970 |
| Acceso en línea: | http://hdl.handle.net/11336/11970 |
| Access Level: | acceso abierto |
| Palabra clave: | grading universal versal fundamental group Schurian Grothendieck category https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Categories over a field k can be graded by di erent groups in a connected way; we consider morphisms between these gradings in order to define the fundamental grading group. We prove that this group is isomorphic to the fundamental group à la Grothendieck as considered in previous papers. In case the k-category is Schurian generated we prove that a universal grading exists. Examples of non-Schurian generated categories with universal grading, versal grading or none of them are considered. |
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