Higher n-angulations from local rings
Category Theory
2017-06-15 v2 Commutative Algebra
K-Theory and Homology
Abstract
We show that the category of finitely generated free modules over certain local rings is n-angulated for every n at least 3. In fact, we construct several classes of n-angles, parametrized by equivalence classes of units in the local rings. Finally, we show that for odd values of n some of these n-angulated categories are not algebraic.
Cite
@article{arxiv.1311.2089,
title = {Higher n-angulations from local rings},
author = {Petter Andreas Bergh and Gustavo Jasso and Marius Thaule},
journal= {arXiv preprint arXiv:1311.2089},
year = {2017}
}
Comments
18 pages, replaces an earlier version by the first and last author. New section on algebraic n-angulated categories