On the lattice of cotorsion theories
Logic
2007-05-23 v1 Group Theory
Abstract
We discuss the lattice of cotorsion theories for abelian groups. First we show that the sublattice of the well-studied rational cotorsion theories can be identified with the well-known lattice of types. Using a recently developed method for making Ext vanish we also prove that any power set together with the ordinary set inclusion (and thus any poset) can be embedded into the lattice of all cotorsion theories.
Keywords
Cite
@article{arxiv.math/0103154,
title = {On the lattice of cotorsion theories},
author = {Rüdiger Göbel and Saharon Shelah and Simone Wallutis},
journal= {arXiv preprint arXiv:math/0103154},
year = {2007}
}