Artículo
Cibils, C.; Redondo, M.J.; Solotar, A. "On universal gradings, versal gradings and Schurian generated categories" (2014) Journal of Noncommutative Geometry. 8(4):1101-1122
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Abstract:
Categories over a field k can be graded by different 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. © European Mathematical Society
Registro:
| Documento: | Artículo |
| Título: | On universal gradings, versal gradings and Schurian generated categories |
| Autor: | Cibils, C.; Redondo, M.J.; Solotar, A. |
| Filiación: | IMAG, UMR 5149 Université de Montpellier - Site Triolet, Montpellier cedex 5, F-34095, France Departamento de Matemática, Universidad Nacional del Sur, Av. Alem 1253, Bahía Blanca, 8000, Argentina IMAS y Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina |
| Palabras clave: | Category; Fundamental group; Grading; Grothendieck; Schurian; Universal; Versal |
| Año: | 2014 |
| Volumen: | 8 |
| Número: | 4 |
| Página de inicio: | 1101 |
| Página de fin: | 1122 |
| DOI: | http://dx.doi.org/10.4171/JNCG/180 |
| Título revista: | Journal of Noncommutative Geometry |
| Título revista abreviado: | J. Noncommunitative Geom. |
| ISSN: | 16616952 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_16616952_v8_n4_p1101_Cibils |
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Citas:
---------- APA ----------
Cibils, C., Redondo, M.J. & Solotar, A. (2014) . On universal gradings, versal gradings and Schurian generated categories. Journal of Noncommutative Geometry, 8(4), 1101-1122.http://dx.doi.org/10.4171/JNCG/180
---------- CHICAGO ----------
Cibils, C., Redondo, M.J., Solotar, A. "On universal gradings, versal gradings and Schurian generated categories" . Journal of Noncommutative Geometry 8, no. 4 (2014) : 1101-1122.http://dx.doi.org/10.4171/JNCG/180
---------- MLA ----------
Cibils, C., Redondo, M.J., Solotar, A. "On universal gradings, versal gradings and Schurian generated categories" . Journal of Noncommutative Geometry, vol. 8, no. 4, 2014, pp. 1101-1122.http://dx.doi.org/10.4171/JNCG/180
---------- VANCOUVER ----------
Cibils, C., Redondo, M.J., Solotar, A. On universal gradings, versal gradings and Schurian generated categories. J. Noncommunitative Geom. 2014;8(4):1101-1122.http://dx.doi.org/10.4171/JNCG/180
