On Blow-Ups and Injectivity of Quivers
Combinatorics
2021-12-16 v3 Category Theory
Abstract
This work connects the idea of a "blow-up" of a quiver with that of injectivity, showing that for a class of monic maps , a quiver is -injective if and only if all blow-ups of it are as well. This relationship is then used to characterize all quivers that are injective with respect to the natural embedding of into .
Cite
@article{arxiv.1210.1299,
title = {On Blow-Ups and Injectivity of Quivers},
author = {Will Grilliette and Deborah E. Seacrest and Tyler Seacrest},
journal= {arXiv preprint arXiv:1210.1299},
year = {2021}
}
Comments
17 pages