IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
On universal gradings, versal gradings and Schurian generated categories
Autor/es:
ANDREA SOLOTAR; MARIA JULIA REDONDO; CLAUDE CIBILS
Revista:
JOURNAL OF NONCOMMUTATIVE GEOMETRY
Editorial:
EUROPEAN MATHEMATICAL SOC
Referencias:
Lugar: Zürich; Año: 2014 vol. 8 p. 1001 - 1022
ISSN:
1661-6952
Resumen:
Categories over a field k can be graded by different groups in a connectedway; we consider morphisms between these gradings in order to define thefundamental grading group. We prove that this group is isomorphic to thefundamental group a la Grothendieck as considered in previous papers. Incase the k-category is Schurian generated we prove that a universal gradingexists. Examples of non Schurian generated categories with universal grading,versal grading or none of them are considered.
