Classification des cat\'egories associ\'ees \`a la matrice des coefficients 2 d'ordre donn\'ee
Category Theory
2012-05-25 v1
Abstract
In the previous papers we found a direct method to confirm, for any square matrix, if it is associated to any categories or not. According to this method, the matrix 2 (all coefficients are 2) of a given order, admits associated categories. We determine in this paper the isomorphism classes of reduced categories that are associated with the matrix 2 of order 1, 2 and 3. More generally, we managed to give upper and lower bounds for the cardinal of the set of all reduced categories associated to the matrix 2 of a given order.
Cite
@article{arxiv.1205.5332,
title = {Classification des cat\'egories associ\'ees \`a la matrice des coefficients 2 d'ordre donn\'ee},
author = {Samer Allouch},
journal= {arXiv preprint arXiv:1205.5332},
year = {2012}
}