Artículos de revistas
On universal gradings, versal gradings and Schurian generated categories
Fecha
2014-11Registro en:
Cibils, Claude; Redondo, Maria Julia; Solotar, Andrea Leonor; On universal gradings, versal gradings and Schurian generated categories; European Mathematical Society; Journal of Noncommutative Geometry; 8; 4; 11-2014; 1101-1122
1661-6952
Autor
Cibils, Claude
Redondo, Maria Julia
Solotar, Andrea Leonor
Resumen
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.