Abelian exact subcategories closed under predecessors
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
In the category of finitely generated modules over an artinian ring, we classify all the abelian exact subcategories closed under predecessors or, equivalently, all the split torsion pairs with torsion-free class closed under quotients.
Cite
@article{arxiv.math/0401113,
title = {Abelian exact subcategories closed under predecessors},
author = {Ibrahim Assem and Manuel Saorin},
journal= {arXiv preprint arXiv:math/0401113},
year = {2007}
}
Comments
12 pages