Tree modules and limits of the approximation theory
Representation Theory
2019-01-08 v1
Abstract
In this expository paper, we present a construction of tree modules and combine it with (infinite dimensional) tilting theory and relative Mittag-Leffler conditions in order to explore limits of the approximation theory of modules. We also present a recent generalization of this construction due to Saroch which applies to factorization properties of maps, and yields a solution of an old problem by Auslander concerning existence of almost split sequences.
Keywords
Cite
@article{arxiv.1801.02970,
title = {Tree modules and limits of the approximation theory},
author = {Jan Trlifaj},
journal= {arXiv preprint arXiv:1801.02970},
year = {2019}
}