On universal gradings, versal gradings and Schurian generated categories
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 t...
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| Autores principales: | , |
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2014
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_16616952_v8_n4_p1101_Cibils http://hdl.handle.net/20.500.12110/paper_16616952_v8_n4_p1101_Cibils |
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| Sumario: | 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 |
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