On universal gradings, versal gradings and Schurian generated categories
Category Theory
2013-03-12 v2 Rings and Algebras
Abstract
Categories over a field 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 \`a la Grothendieck as considered in previous papers. In case the -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.
Keywords
Cite
@article{arxiv.1210.4098,
title = {On universal gradings, versal gradings and Schurian generated categories},
author = {Claude Cibils and Maria Julia Redondo and Andrea Solotar},
journal= {arXiv preprint arXiv:1210.4098},
year = {2013}
}
Comments
Final version to appear in the Journal of Noncommutative Geometry, 21 pages